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32021012013030 = 23352359397220141
BaseRepresentation
bin1110100011111011110010…
…00010111101111111100110
311012101011211101100110121000
413101331321002331333212
513144113013033404110
6152034125544334130
76513304346144415
oct721757102757746
9135334741313530
1032021012013030
11a22604254a267
123711a78174346
1314b3750c33311
147c9b7a6b947c
153a7e177c81c0
hex1d1f790bdfe6

32021012013030 has 256 divisors, whose sum is σ = 90840803788800. Its totient is φ = 8008982023680.

The previous prime is 32021012013019. The next prime is 32021012013049. The reversal of 32021012013030 is 3031021012023.

32021012013030 is a `hidden beast` number, since 32 + 0 + 210 + 120 + 1 + 303 + 0 = 666.

It is a super-2 number, since 2×320210120130302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32021012012994 and 32021012013012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145346760 + ... + 145566900.

It is an arithmetic number, because the mean of its divisors is an integer number (354846889800).

Almost surely, 232021012013030 is an apocalyptic number.

32021012013030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32021012013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45420401894400).

32021012013030 is an abundant number, since it is smaller than the sum of its proper divisors (58819791775770).

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

32021012013030 is a wasteful number, since it uses less digits than its factorization.

32021012013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220636 (or 220630 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32021012013030 its reverse (3031021012023), we get a palindrome (35052033025053).

The spelling of 32021012013030 in words is "thirty-two trillion, twenty-one billion, twelve million, thirteen thousand, thirty".