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11122111131152 = 2472914712327869
BaseRepresentation
bin1010000111011001000101…
…1110111010111000010000
31110101021010001021212022112
42201312101132322320100
52424211040422144102
635353232144524452
72225355165523130
oct241662136727020
943337101255275
1011122111131152
1135a895186511a
1212b7658620728
13628a6cac5948
142a6455024ac0
151444a1b75252
hexa1d917bae10

11122111131152 has 80 divisors (see below), whose sum is σ = 25494087321600. Its totient is φ = 4599122250240.

The previous prime is 11122111131151. The next prime is 11122111131211. The reversal of 11122111131152 is 25113111122111.

It is not an unprimeable number, because it can be changed into a prime (11122111131151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3613874 + ... + 5941742.

It is an arithmetic number, because the mean of its divisors is an integer number (318676091520).

Almost surely, 211122111131152 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 11122111131152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12747043660800).

11122111131152 is an abundant number, since it is smaller than the sum of its proper divisors (14371976190448).

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

11122111131152 is a wasteful number, since it uses less digits than its factorization.

11122111131152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329384 (or 2329378 counting only the distinct ones).

The product of its digits is 120, while the sum is 23.

Adding to 11122111131152 its reverse (25113111122111), we get a palindrome (36235222253263).

The spelling of 11122111131152 in words is "eleven trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1471 1624 2942 3248 5884 10297 11768 20594 23536 41188 42659 82376 85318 164752 170636 298613 341272 597226 682544 1194452 2327869 2388904 4655738 4777808 9311476 16295083 18622952 32590166 37245904 65180332 67508201 130360664 135016402 260721328 270032804 472557407 540065608 945114814 1080131216 1890229628 3424295299 3780459256 6848590598 7560918512 13697181196 23970067093 27394362392 47940134186 54788724784 95880268372 99304563671 191760536744 198609127342 383521073488 397218254684 695131945697 794436509368 1390263891394 1588873018736 2780527782788 5561055565576 11122111131152