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1023211122012 = 2232195849255757
BaseRepresentation
bin11101110001111000010…
…00101010110101011100
310121211002100020121000200
432320330020222311130
5113231014021401022
62102020125223500
7133632061014462
oct16707410526534
93554070217020
101023211122012
11364a3a004462
1214637b401b90
1375647007471
1437748db0832
151b93937abac
hexee3c22ad5c

1023211122012 has 72 divisors (see below), whose sum is σ = 2723055426000. Its totient is φ = 323062795008.

The previous prime is 1023211121971. The next prime is 1023211122041. The reversal of 1023211122012 is 2102211123201.

1023211122012 is a `hidden beast` number, since 102 + 321 + 11 + 220 + 12 = 666.

It is a super-2 number, since 2×10232111220122 (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3872838 + ... + 4128594.

It is an arithmetic number, because the mean of its divisors is an integer number (37820214250).

Almost surely, 21023211122012 is an apocalyptic number.

1023211122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023211122012 is an abundant number, since it is smaller than the sum of its proper divisors (1699844303988).

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

1023211122012 is a wasteful number, since it uses less digits than its factorization.

1023211122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261635 (or 261630 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1023211122012 its reverse (2102211123201), we get a palindrome (3125422245213).

The spelling of 1023211122012 in words is "one trillion, twenty-three billion, two hundred eleven million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 5849 11698 17547 23396 35094 52641 70188 105282 111131 210564 222262 255757 333393 444524 511514 666786 767271 1000179 1023028 1333572 1534542 2000358 2301813 3069084 4000716 4603626 4859383 9207252 9718766 14578149 19437532 29156298 43734447 58312596 87468894 174937788 1495922693 2991845386 4487768079 5983690772 8975536158 13463304237 17951072316 26926608474 28422531167 53853216948 56845062334 85267593501 113690124668 170535187002 255802780503 341070374004 511605561006 1023211122012