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10102121199 = 3310913126203
BaseRepresentation
bin10010110100010001…
…00010001011101111
3222002000220221002000
421122020202023233
5131142120334244
64350231303343
7505224420252
oct113210421357
928060827060
1010102121199
1143144251a5
121b5b21ab53
13c4cbc4611
146bb947099
153e1d31169
hex25a2222ef

10102121199 has 32 divisors (see below), whose sum is σ = 15219283200. Its totient is φ = 6621769440.

The previous prime is 10102121173. The next prime is 10102121269. The reversal of 10102121199 is 99112120101.

It is not a de Polignac number, because 10102121199 - 25 = 10102121167 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102121399) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372432 + ... + 398634.

It is an arithmetic number, because the mean of its divisors is an integer number (475602600).

Almost surely, 210102121199 is an apocalyptic number.

10102121199 is a deficient number, since it is larger than the sum of its proper divisors (5117162001).

10102121199 is a wasteful number, since it uses less digits than its factorization.

10102121199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26452 (or 26446 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 10102121199 in words is "ten billion, one hundred two million, one hundred twenty-one thousand, one hundred ninety-nine".

Divisors: 1 3 9 27 109 131 327 393 981 1179 2943 3537 14279 26203 42837 78609 128511 235827 385533 707481 2856127 3432593 8568381 10297779 25705143 30893337 77115429 92680011 374152637 1122457911 3367373733 10102121199