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101211131524 = 22171725786249
BaseRepresentation
bin101111001000010100…
…1110100111010000100
3100200020120121012100211
41132100221310322010
53124240022202044
6114255025445204
710212051265126
oct1362051647204
9320216535324
10101211131524
1139a18055148
12177474a0804
13970c700809
144c81c4b216
152975723634
hex1790a74e84

101211131524 has 24 divisors (see below), whose sum is σ = 187551315000. Its totient is φ = 47625455616.

The previous prime is 101211131459. The next prime is 101211131537. The reversal of 101211131524 is 425131112101.

It can be written as a sum of positive squares in 4 ways, for example, as 28913601600 + 72297529924 = 170040^2 + 268882^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101211131495 and 101211131504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1130352 + ... + 1216600.

It is an arithmetic number, because the mean of its divisors is an integer number (7814638125).

Almost surely, 2101211131524 is an apocalyptic number.

It is an amenable number.

101211131524 is a deficient number, since it is larger than the sum of its proper divisors (86340183476).

101211131524 is a wasteful number, since it uses less digits than its factorization.

101211131524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103527 (or 103525 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 101211131524 its reverse (425131112101), we get a palindrome (526342243625).

The spelling of 101211131524 in words is "one hundred one billion, two hundred eleven million, one hundred thirty-one thousand, five hundred twenty-four".

Divisors: 1 2 4 17 34 68 17257 34514 69028 86249 172498 293369 344996 586738 1173476 1466233 2932466 5864932 1488398993 2976797986 5953595972 25302782881 50605565762 101211131524