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102941316 = 2232192892
BaseRepresentation
bin1100010001011…
…00001010000100
321011200221221100
412020230022010
5202323110231
614114220100
72356662312
oct610541204
9234627840
10102941316
1153120375
122a584630
131843352a
14d9590b2
1590861e6
hex622c284

102941316 has 81 divisors (see below), whose sum is σ = 277749381. Its totient is φ = 32142528.

The previous prime is 102941309. The next prime is 102941323. The reversal of 102941316 is 613149201.

The square root of 102941316 is 10146.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (102941309) and next prime (102941323).

It can be written as a sum of positive squares in only one way, i.e., 19766916 + 83174400 = 4446^2 + 9120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102941316.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1156600 + ... + 1156688.

Almost surely, 2102941316 is an apocalyptic number.

102941316 is the 10146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102941316

102941316 is an abundant number, since it is smaller than the sum of its proper divisors (174808065).

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

102941316 is a wasteful number, since it uses less digits than its factorization.

102941316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 113 counting only the distinct ones).

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

The cubic root of 102941316 is about 468.6657738803.

Multiplying 102941316 by its product of nonzero digits (1296), we get a square (133411945536 = 3652562).

The spelling of 102941316 in words is "one hundred two million, nine hundred forty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 89 114 171 178 228 267 342 356 361 534 684 722 801 1068 1083 1444 1602 1691 2166 3204 3249 3382 4332 5073 6498 6764 7921 10146 12996 15219 15842 20292 23763 30438 31684 32129 47526 60876 64258 71289 95052 96387 128516 142578 150499 192774 285156 289161 300998 385548 451497 578322 601996 902994 1156644 1354491 1805988 2708982 2859481 5417964 5718962 8578443 11437924 17156886 25735329 34313772 51470658 102941316