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113123122002 = 232116722338239
BaseRepresentation
bin110100101011010101…
…0011101101101010010
3101210222202010000100100
41221112222131231102
53323134004401002
6123545033033230
711113203446262
oct1512652355522
9353882100310
10113123122002
1143a80064980
1219b10855816
13a88a55c3a7
145691cb97a2
152e213ac11c
hex1a56a9db52

113123122002 has 96 divisors (see below), whose sum is σ = 272596746240. Its totient is φ = 33615790560.

The previous prime is 113123122001. The next prime is 113123122027. The reversal of 113123122002 is 200221321311.

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

It is not an unprimeable number, because it can be changed into a prime (113123122001) 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, 2939199 + ... + 2977437.

It is an arithmetic number, because the mean of its divisors is an integer number (2839549440).

Almost surely, 2113123122002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113123122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136298373120).

113123122002 is an abundant number, since it is smaller than the sum of its proper divisors (159473624238).

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

113123122002 is a wasteful number, since it uses less digits than its factorization.

113123122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38548 (or 38545 counting only the distinct ones).

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

Adding to 113123122002 its reverse (200221321311), we get a palindrome (313344443313).

The spelling of 113123122002 in words is "one hundred thirteen billion, one hundred twenty-three million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 223 402 446 603 669 737 1206 1338 1474 2007 2211 2453 4014 4422 4906 6633 7359 13266 14718 14941 22077 29882 38239 44154 44823 76478 89646 114717 134469 164351 229434 268938 328702 344151 420629 493053 688302 841258 986106 1261887 1479159 2523774 2562013 2958318 3785661 5124026 7571322 7686039 8527297 15372078 17054594 23058117 25581891 28182143 46116234 51163782 56364286 76745673 84546429 93800267 153491346 169092858 187600534 253639287 281400801 507278574 562801602 571328899 844202403 1142657798 1688404806 1713986697 3427973394 5141960091 6284617889 10283920182 12569235778 18853853667 37707707334 56561561001 113123122002