Search a number
-
+
102100220320122 = 23429110319703263
BaseRepresentation
bin10111001101110000001111…
…010111010001100101111010
3111101111200111220101010220000
4113031300033113101211322
5101340302222400220442
61001052105501013430
730335332432254453
oct2715601727214572
9441450456333800
10102100220320122
112a594507694902
12b54b859254276
1344c8017a3a08b
141b2d969ab412a
15bc0cdb006d4c
hex5cdc0f5d197a

102100220320122 has 80 divisors (see below), whose sum is σ = 236883673635840. Its totient is φ = 32830048022688.

The previous prime is 102100220320117. The next prime is 102100220320177. The reversal of 102100220320122 is 221023022001201.

102100220320122 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 0 + 220 + 320 + 122 = 666.

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 = 102100220320095 and 102100220320104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4669738 + ... + 15033525.

It is an arithmetic number, because the mean of its divisors is an integer number (2961045920448).

Almost surely, 2102100220320122 is an apocalyptic number.

102100220320122 is an abundant number, since it is smaller than the sum of its proper divisors (134783453315718).

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

102100220320122 is a wasteful number, since it uses less digits than its factorization.

102100220320122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19704409 (or 19704400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102100220320122 its reverse (221023022001201), we get a palindrome (323123242321323).

The spelling of 102100220320122 in words is "one hundred two trillion, one hundred billion, two hundred twenty million, three hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1103 1566 2206 2349 3309 4698 6618 9927 19854 29781 31987 59562 63974 89343 95961 178686 191922 287883 575766 863649 1727298 2590947 5181894 19703263 39406526 59109789 118219578 177329367 354658734 531988101 571394627 1063976202 1142789254 1595964303 1714183881 3191928606 3428367762 5142551643 10285103286 15427654929 21732699089 30855309858 43465398178 46282964787 65198097267 92565929574 130396194534 195594291801 391188583602 586782875403 630248273581 1173565750806 1260496547162 1760348626209 1890744820743 3520697252418 3781489641486 5672234462229 11344468924458 17016703386687 34033406773374 51050110160061 102100220320122