Search a number
-
+
101002311102 = 23711597152189
BaseRepresentation
bin101111000010000110…
…1001111010110111110
3100122201000200000121010
41132010031033112332
53123323042423402
6114222210020050
710203634323210
oct1360415172676
9318630600533
10101002311102
1139920198290
12176a9577626
1396a8378834
144c622105b0
152962225a6c
hex178434f5be

101002311102 has 128 divisors (see below), whose sum is σ = 259730841600. Its totient is φ = 25425993600.

The previous prime is 101002311061. The next prime is 101002311103. The reversal of 101002311102 is 201113200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002311103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1909224 + ... + 1961412.

It is an arithmetic number, because the mean of its divisors is an integer number (2029147200).

Almost surely, 2101002311102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002311102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129865420800).

101002311102 is an abundant number, since it is smaller than the sum of its proper divisors (158728530498).

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

101002311102 is a wasteful number, since it uses less digits than its factorization.

101002311102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52342.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101002311102 its reverse (201113200101), we get a palindrome (302115511203).

The spelling of 101002311102 in words is "one hundred one billion, two million, three hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 59 66 71 77 118 142 154 177 213 231 354 413 426 462 497 649 781 826 994 1239 1298 1491 1562 1947 2343 2478 2982 3894 4189 4543 4686 5467 8378 9086 10934 12567 13629 16401 25134 27258 29323 32802 46079 52189 58646 87969 92158 104378 138237 156567 175938 276474 313134 322553 365323 574079 645106 730646 967659 1095969 1148158 1722237 1935318 2191938 3079151 3444474 3705419 4018553 6158302 7410838 8037106 9237453 11116257 12055659 18474906 21554057 22232514 24111318 25937933 33870661 40759609 43108114 51875866 64662171 67741322 77813799 81519218 101611983 122278827 129324342 155627598 203223966 218619721 237094627 244557654 285317263 437239442 474189254 570634526 655859163 711283881 855951789 1311718326 1422567762 1530338047 1711903578 2404816931 3060676094 4591014141 4809633862 7214450793 9182028282 14428901586 16833718517 33667437034 50501155551 101002311102