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10133520000 = 2735442223
BaseRepresentation
bin10010111000000000…
…10011111010000000
3222011020000011010120
421130000103322000
5131223140120000
64353312300240
7506055333042
oct113400237200
928136004116
1010133520000
11433012061a
121b69841680
13c565691a6
146c1b9ba92
153e49846a0
hex25c013e80

10133520000 has 160 divisors (see below), whose sum is σ = 33636482880. Its totient is φ = 2702208000.

The previous prime is 10133519999. The next prime is 10133520011. The reversal of 10133520000 is 2533101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 218889 + ... + 261111.

It is an arithmetic number, because the mean of its divisors is an integer number (210228018).

Almost surely, 210133520000 is an apocalyptic number.

10133520000 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 10133520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16818241440).

10133520000 is an abundant number, since it is smaller than the sum of its proper divisors (23502962880).

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

10133520000 is an frugal number, since it uses more digits than its factorization.

10133520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42260 (or 42233 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The spelling of 10133520000 in words is "ten billion, one hundred thirty-three million, five hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 42223 48000 60000 80000 84446 120000 126669 168892 211115 240000 253338 337784 422230 506676 633345 675568 844460 1013352 1055575 1266690 1351136 1688920 2026704 2111150 2533380 2702272 3166725 3377840 4053408 4222300 5066760 5277875 5404544 6333450 6755680 8106816 8444600 10133520 10555750 12666900 13511360 15833625 16213632 16889200 20267040 21111500 25333800 26389375 27022720 31667250 33778400 40534080 42223000 50667600 52778750 63334500 67556800 79168125 81068160 84446000 101335200 105557500 126669000 135113600 158336250 168892000 202670400 211115000 253338000 316672500 337784000 405340800 422230000 506676000 633345000 675568000 844460000 1013352000 1266690000 1688920000 2026704000 2533380000 3377840000 5066760000 10133520000