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10134805320 = 2333512237673
BaseRepresentation
bin10010111000001010…
…01101101101001000
3222011022102110021000
421130011031231020
5131224002232240
64353400015000
7506102265243
oct113405155510
928138373230
1010134805320
114330919272
121b6a161460
13c568c9233
146c201425a
153e4b3a430
hex25c14db48

10134805320 has 128 divisors (see below), whose sum is σ = 33814713600. Its totient is φ = 2700052992.

The previous prime is 10134805253. The next prime is 10134805367. The reversal of 10134805320 is 2350843101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317004 + ... + 1324676.

It is an arithmetic number, because the mean of its divisors is an integer number (264177450).

Almost surely, 210134805320 is an apocalyptic number.

10134805320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10134805320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16907356800).

10134805320 is an abundant number, since it is smaller than the sum of its proper divisors (23679908280).

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

10134805320 is a wasteful number, since it uses less digits than its factorization.

10134805320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8916 (or 8906 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10134805320 in words is "ten billion, one hundred thirty-four million, eight hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1223 2446 3669 4892 6115 7338 7673 9784 11007 12230 14676 15346 18345 22014 23019 24460 29352 30692 33021 36690 38365 44028 46038 48920 55035 61384 66042 69057 73380 76730 88056 92076 110070 115095 132084 138114 146760 153460 165105 184152 207171 220140 230190 264168 276228 306920 330210 345285 414342 440280 460380 552456 660420 690570 828684 920760 1035855 1320840 1381140 1657368 2071710 2762280 4143420 8286840 9384079 18768158 28152237 37536316 46920395 56304474 75072632 84456711 93840790 112608948 140761185 168913422 187681580 225217896 253370133 281522370 337826844 375363160 422283555 506740266 563044740 675653688 844567110 1013480532 1126089480 1266850665 1689134220 2026961064 2533701330 3378268440 5067402660 10134805320