Search a number
-
+
102154431 = 31923671163
BaseRepresentation
bin1100001011011…
…00000010111111
321010012222112110
412011230002333
5202122420211
614045305103
72350204221
oct605540277
9233188473
10102154431
1152733155
122a265193
1318219312
14d7d2411
158e7cea6
hex616c0bf

102154431 has 32 divisors (see below), whose sum is σ = 151971840. Its totient is φ = 60740064.

The previous prime is 102154421. The next prime is 102154439. The reversal of 102154431 is 134451201.

It is a de Polignac number, because none of the positive numbers 2k-102154431 is a prime.

It is a super-2 number, since 2×1021544312 = 20871055545867522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102154398 and 102154407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102154439) 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, 87256 + ... + 88418.

It is an arithmetic number, because the mean of its divisors is an integer number (4749120).

Almost surely, 2102154431 is an apocalyptic number.

102154431 is a deficient number, since it is larger than the sum of its proper divisors (49817409).

102154431 is a wasteful number, since it uses less digits than its factorization.

102154431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 102154431 is about 10107.1475204431. The cubic root of 102154431 is about 467.4685553693.

The spelling of 102154431 in words is "one hundred two million, one hundred fifty-four thousand, four hundred thirty-one".

Divisors: 1 3 19 23 57 67 69 201 437 1163 1273 1311 1541 3489 3819 4623 22097 26749 29279 66291 77921 80247 87837 233763 508231 1480499 1524693 1792183 4441497 5376549 34051477 102154431