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100341103122 = 23213237891493
BaseRepresentation
bin101110101110011001…
…0111011101000010010
3100120222221111011202200
41131130302323220102
53120444310244442
6114032430024030
710151355206151
oct1353462735022
9316887434680
10100341103122
1139610a33a07
1217544048016
13960139c200
144bdc493598
15292416734c
hex175ccbba12

100341103122 has 72 divisors (see below), whose sum is σ = 241778521764. Its totient is φ = 30039714432.

The previous prime is 100341103103. The next prime is 100341103147. The reversal of 100341103122 is 221301143001.

100341103122 is a `hidden beast` number, since 1 + 0 + 0 + 341 + 10 + 312 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 36756941841 + 63584161281 = 191721^2 + 252159^2 .

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 = 100341103095 and 100341103104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 333193 + ... + 558300.

Almost surely, 2100341103122 is an apocalyptic number.

100341103122 is an abundant number, since it is smaller than the sum of its proper divisors (141437418642).

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

100341103122 is a wasteful number, since it uses less digits than its factorization.

100341103122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891564 (or 891548 counting only the distinct ones).

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

Adding to 100341103122 its reverse (221301143001), we get a palindrome (321642246123).

The spelling of 100341103122 in words is "one hundred billion, three hundred forty-one million, one hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 169 222 234 333 338 481 507 666 962 1014 1443 1521 2886 3042 4329 6253 8658 12506 18759 37518 56277 112554 891493 1782986 2674479 5348958 8023437 11589409 16046874 23178818 32985241 34768227 65970482 69536454 98955723 104304681 150662317 197911446 208609362 296867169 301324634 428808133 451986951 593734338 857616266 903973902 1286424399 1355960853 2572848798 2711921706 3859273197 5574505729 7718546394 11149011458 16723517187 33447034374 50170551561 100341103122