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100122240340122 = 237111380920606143
BaseRepresentation
bin10110110000111110000110…
…100100011101000010011010
3111010111121000002002012200020
4112300332012210131002122
5101110400322011340442
6552535304445251310
730042410310656430
oct2660760644350232
9433447002065606
10100122240340122
11299a1670543a60
12b29043b863b36
1343b3643517250
141aa1d298d6d50
15b896212ae9ec
hex5b0f8691d09a

100122240340122 has 128 divisors (see below), whose sum is σ = 269192071249920. Its totient is φ = 23975658339840.

The previous prime is 100122240340103. The next prime is 100122240340193. The reversal of 100122240340122 is 221043042221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122240340092 and 100122240340101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5444218 + ... + 15161925.

It is an arithmetic number, because the mean of its divisors is an integer number (2103063056640).

Almost surely, 2100122240340122 is an apocalyptic number.

100122240340122 is an abundant number, since it is smaller than the sum of its proper divisors (169069830909798).

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

100122240340122 is a wasteful number, since it uses less digits than its factorization.

100122240340122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20606988.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100122240340122 its reverse (221043042221001), we get a palindrome (321165282561123).

The spelling of 100122240340122 in words is "one hundred trillion, one hundred twenty-two billion, two hundred forty million, three hundred forty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 809 858 1001 1618 2002 2427 3003 4854 5663 6006 8899 10517 11326 16989 17798 21034 26697 31551 33978 53394 62293 63102 73619 115687 124586 147238 186879 220857 231374 347061 373758 441714 694122 809809 1619618 2429427 4858854 20606143 41212286 61818429 123636858 144243001 226667573 267879859 288486002 432729003 453335146 535759718 680002719 803639577 865458006 1360005438 1586673011 1607279154 1875159013 2946678449 3173346022 3750318026 4760019033 5625477039 5893356898 8840035347 9520038066 11250954078 16670369687 17680070694 20626749143 33340739374 41253498286 50011109061 61880247429 100022218122 116692587809 123760494858 183374066557 216714805931 233385175618 350077763427 366748133114 433429611862 550122199671 650144417793 700155526854 1100244399342 1283618465899 1300288835586 1517003641517 2383862865241 2567236931798 3034007283034 3850855397697 4551010924551 4767725730482 7151588595723 7701710795394 9102021849102 14303177191446 16687040056687 33374080113374 50061120170061 100122240340122