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105133410352 = 24171792159329
BaseRepresentation
bin110000111101001110…
…0001000100000110000
3101001100221001121102001
41201322130020200300
53210303123112402
6120144141503344
710411206146305
oct1417234104060
9331327047361
10105133410352
11406500842a3
1218460b71b54
139bb61ac169
145134b2d0ac
152b04c45187
hex187a708830

105133410352 has 40 divisors (see below), whose sum is σ = 216883105200. Its totient is φ = 49198129152.

The previous prime is 105133410341. The next prime is 105133410397. The reversal of 105133410352 is 253014331501.

It is a happy number.

It is a super-2 number, since 2×1051334103522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105133410352.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030977 + ... + 1128352.

It is an arithmetic number, because the mean of its divisors is an integer number (5422077630).

Almost surely, 2105133410352 is an apocalyptic number.

It is an amenable number.

105133410352 is an abundant number, since it is smaller than the sum of its proper divisors (111749694848).

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

105133410352 is a wasteful number, since it uses less digits than its factorization.

105133410352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159533 (or 2159527 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 105133410352 its reverse (253014331501), we get a palindrome (358147741853).

The spelling of 105133410352 in words is "one hundred five billion, one hundred thirty-three million, four hundred ten thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 136 179 272 358 716 1432 2864 3043 6086 12172 24344 48688 2159329 4318658 8637316 17274632 34549264 36708593 73417186 146834372 293668744 386519891 587337488 773039782 1546079564 3092159128 6184318256 6570838147 13141676294 26283352588 52566705176 105133410352