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102918330 = 23352316573
BaseRepresentation
bin1100010001001…
…10100010111010
321011122210102000
412020212202322
5202321341310
614113521430
72356535304
oct610464272
9234583360
10102918330
1153105079
122a573276
1318425c28
14d950974
15907e4c0
hex62268ba

102918330 has 64 divisors (see below), whose sum is σ = 286398720. Its totient is φ = 26250048.

The previous prime is 102918329. The next prime is 102918337. The reversal of 102918330 is 33819201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102918294 and 102918303.

It is not an unprimeable number, because it can be changed into a prime (102918337) 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, 2077 + ... + 14496.

It is an arithmetic number, because the mean of its divisors is an integer number (4474980).

Almost surely, 2102918330 is an apocalyptic number.

102918330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102918330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143199360).

102918330 is an abundant number, since it is smaller than the sum of its proper divisors (183480390).

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

102918330 is a wasteful number, since it uses less digits than its factorization.

102918330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16612 (or 16606 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 102918330 is about 10144.8671750792. The cubic root of 102918330 is about 468.6308881356.

The spelling of 102918330 in words is "one hundred two million, nine hundred eighteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 16573 33146 49719 82865 99438 149157 165730 248595 298314 381179 447471 497190 745785 762358 894942 1143537 1491570 1905895 2237355 2287074 3430611 3811790 4474710 5717685 6861222 10291833 11435370 17153055 20583666 34306110 51459165 102918330