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10121102134 = 21113192167587
BaseRepresentation
bin10010110110100001…
…11100001100110110
3222010100122021000121
421123100330030312
5131212000232014
64352150202154
7505544643253
oct113320741466
928110567017
1010121102134
114324109920
121b6565335a
13c53b0bc40
146c028842a
153e3830124
hex25b43c336

10121102134 has 96 divisors (see below), whose sum is σ = 18968898816. Its totient is φ = 3992207040.

The previous prime is 10121102129. The next prime is 10121102171. The reversal of 10121102134 is 43120112101.

10121102134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 17241789 + ... + 17242375.

It is an arithmetic number, because the mean of its divisors is an integer number (197592696).

Almost surely, 210121102134 is an apocalyptic number.

10121102134 is a deficient number, since it is larger than the sum of its proper divisors (8847796682).

10121102134 is a wasteful number, since it uses less digits than its factorization.

10121102134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10121102134 its reverse (43120112101), we get a palindrome (53241214235).

The spelling of 10121102134 in words is "ten billion, one hundred twenty-one million, one hundred two thousand, one hundred thirty-four".

Divisors: 1 2 11 13 19 22 26 38 143 167 209 247 286 334 361 418 494 587 722 1174 1837 2171 2717 3173 3674 3971 4342 4693 5434 6346 6457 7631 7942 9386 11153 12914 15262 22306 23881 34903 41249 47762 51623 60287 69806 82498 83941 98029 103246 120574 122683 144989 167882 196058 211907 245366 289978 423814 453739 663157 783731 907478 1078319 1274377 1326314 1567462 1594879 1862551 2156638 2330977 2548754 2754791 3189758 3725102 4661954 5509582 8621041 14018147 17242082 20488061 24213163 28036294 30302701 35388469 40976122 48426326 60605402 70776938 266344793 389273159 460050097 532689586 778546318 920100194 5060551067 10121102134