Search a number
-
+
102255132 = 22376718169
BaseRepresentation
bin1100001100001…
…00101000011100
321010102002200010
412012010220130
5202134131012
614051403220
72351103630
oct606045034
9233362603
10102255132
11527a1881
122a2b3510
13182530c5
14d81adc0
158e9cc3c
hex6184a1c

102255132 has 48 divisors (see below), whose sum is σ = 276765440. Its totient is φ = 28778112.

The previous prime is 102255113. The next prime is 102255137. The reversal of 102255132 is 231552201.

It is a super-2 number, since 2×1022551322 = 20912224040674848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102255099 and 102255108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102255137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3457 + ... + 14712.

Almost surely, 2102255132 is an apocalyptic number.

102255132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102255132 is an abundant number, since it is smaller than the sum of its proper divisors (174510308).

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

102255132 is a wasteful number, since it uses less digits than its factorization.

102255132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18250 (or 18248 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 102255132 is about 10112.1279659625. The cubic root of 102255132 is about 467.6221107616.

The spelling of 102255132 in words is "one hundred two million, two hundred fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 5628 18169 36338 54507 72676 109014 127183 218028 254366 381549 508732 763098 1217323 1526196 2434646 3651969 4869292 7303938 8521261 14607876 17042522 25563783 34085044 51127566 102255132