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2021123352312 = 233417320039001
BaseRepresentation
bin11101011010010100010…
…101101110011011111000
321011012212120011022220000
4131122110111232123320
5231103230034233222
64144254035433000
7266010215015421
oct35322425563370
97135776138800
102021123352312
1170a176495049
1228785a155760
1311878b8a7bcc
146db74032648
15378926939ac
hex1d69456e6f8

2021123352312 has 160 divisors (see below), whose sum is σ = 5697214926480. Its totient is φ = 669404736000.

The previous prime is 2021123352307. The next prime is 2021123352323. The reversal of 2021123352312 is 2132533211202.

2021123352312 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 12 + 335 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224539812 + ... + 224548812.

Almost surely, 22021123352312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021123352312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848607463240).

2021123352312 is an abundant number, since it is smaller than the sum of its proper divisors (3676091574168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2021123352312 is a wasteful number, since it uses less digits than its factorization.

2021123352312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11195 (or 11182 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 2021123352312 its reverse (2132533211202), we get a palindrome (4153656563514).

The spelling of 2021123352312 in words is "two trillion, twenty-one billion, one hundred twenty-three million, three hundred fifty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 173 216 324 346 519 648 692 1038 1384 1557 2003 2076 3114 4006 4152 4671 6009 6228 8012 9001 9342 12018 12456 14013 16024 18002 18027 18684 24036 27003 28026 36004 36054 37368 48072 54006 54081 56052 72008 72108 81009 108012 108162 112104 144216 162018 162243 216024 216324 243027 324036 324486 346519 432648 486054 648072 648972 693038 729081 972108 1039557 1297944 1386076 1458162 1557173 1944216 2079114 2772152 2916324 3114346 3118671 4158228 4671519 5832648 6228692 6237342 8316456 9343038 9356013 12457384 12474684 14014557 18029003 18686076 18712026 24949368 28029114 28068039 36058006 37372152 37424052 42043671 54087009 56058228 56136078 72116012 74848104 84087342 108174018 112116456 112272156 126131013 144232024 162261027 168174684 216348036 224544312 252262026 324522054 336349368 432696072 486783081 504524052 649044108 973566162 1009048104 1298088216 1460349243 1947132324 2920698486 3119017519 3894264648 5841396972 6238035038 9357052557 11682793944 12476070076 18714105114 24952140152 28071157671 37428210228 56142315342 74856420456 84213473013 112284630684 168426946026 224569261368 252640419039 336853892052 505280838078 673707784104 1010561676156 2021123352312