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1011332002122 = 23213231314714293
BaseRepresentation
bin11101011011110000001…
…01011011000101001010
310120200102110120210000100
432231320011123011022
5113032201443031442
62052333254350230
7133031515116051
oct16557005330512
93520373523010
101011332002122
1135a9a3605902
1214400505b376
13744a2c17340
1436d3d45b398
151b49153684c
hexeb7815b14a

1011332002122 has 96 divisors (see below), whose sum is σ = 2462733157248. Its totient is φ = 297606089088.

The previous prime is 1011332002103. The next prime is 1011332002123. The reversal of 1011332002122 is 2212002331101.

1011332002122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1011332002095 and 1011332002104.

It is not an unprimeable number, because it can be changed into a prime (1011332002123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70750008 + ... + 70764300.

It is an arithmetic number, because the mean of its divisors is an integer number (25653470388).

Almost surely, 21011332002122 is an apocalyptic number.

1011332002122 is an abundant number, since it is smaller than the sum of its proper divisors (1451401155126).

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

1011332002122 is a wasteful number, since it uses less digits than its factorization.

1011332002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27484 (or 27481 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1011332002122 its reverse (2212002331101), we get a palindrome (3223334333223).

The spelling of 1011332002122 in words is "one trillion, eleven billion, three hundred thirty-two million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1794 2691 5382 13147 14293 26294 28586 39441 42879 78882 85758 118323 128637 170911 185809 236646 257274 302381 328739 341822 371618 512733 557427 604762 657478 907143 986217 1025466 1114854 1538199 1672281 1814286 1972434 2721429 2958651 3076398 3344562 3930953 4273607 5442858 5917302 7861906 8547214 11792859 12820821 23585718 25641642 35378577 38462463 70757154 76924926 187910071 375820142 563730213 1127460426 1691190639 2442830923 3382381278 4321931633 4885661846 7328492769 8643863266 12965794899 14656985538 21985478307 25931589798 38897384697 43970956614 56185111229 77794769394 112370222458 168555333687 337110667374 505666001061 1011332002122