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10232222001012 = 223211314327192631
BaseRepresentation
bin1001010011100101111111…
…1101010010011101110100
31100020012011010220012001200
42110321133331102131310
52320121042313013022
633432341244252500
72104152666651234
oct224713775223564
940205133805050
1010232222001012
113295508625520
1211930a6541130
13592b81ca528b
142753567c1cc4
1512b26c106bac
hex94e5ff52774

10232222001012 has 144 divisors (see below), whose sum is σ = 29133207527424. Its totient is φ = 2999942568000.

The previous prime is 10232222000989. The next prime is 10232222001109. The reversal of 10232222001012 is 21010022223201.

10232222001012 is a `hidden beast` number, since 102 + 322 + 220 + 0 + 10 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53021937 + ... + 53214567.

Almost surely, 210232222001012 is an apocalyptic number.

10232222001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232222001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14566603763712).

10232222001012 is an abundant number, since it is smaller than the sum of its proper divisors (18900985526412).

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

10232222001012 is a wasteful number, since it uses less digits than its factorization.

10232222001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197010 (or 197005 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10232222001012 its reverse (21010022223201), we get a palindrome (31242244224213).

The spelling of 10232222001012 in words is "ten trillion, two hundred thirty-two billion, two hundred twenty-two million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 4327 6138 8654 12276 12981 17308 25962 38943 47597 51924 77886 95194 134137 142791 155772 190388 192631 268274 285582 385262 402411 428373 536548 571164 577893 770524 804822 856746 1155786 1207233 1475507 1609644 1713492 1733679 2118941 2311572 2414466 2951014 3467358 4237882 4426521 4828932 5902028 5971561 6356823 6934716 8475764 8853042 11943122 12713646 13279563 17706084 17914683 19070469 23886244 25427292 26559126 35829366 38140938 53118252 53744049 65687171 71658732 76281876 107488098 131374342 197061513 214976196 262748684 394123026 591184539 788246052 833514337 1182369078 1667028674 2364738156 2500543011 3334057348 5001086022 7501629033 9168657707 10002172044 15003258066 18337315414 25838944447 27505973121 30006516132 36674630828 51677888894 55011946242 77516833341 82517919363 103355777788 110023892484 155033666682 165035838726 232550500023 284228388917 310067333364 330071677452 465101000046 568456777834 852685166751 930202000092 1136913555668 1705370333502 2558055500253 3410740667004 5116111000506 10232222001012