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20135151120 = 2435775115959
BaseRepresentation
bin10010110000001001…
…100000011000010000
31220222020211122201210
4102300021200120100
5312214044313440
613125554100120
71311652650330
oct226011403020
956866748653
1020135151120
1185a284a067
123a9b27a640
131b8b6a7c06
14d902270c0
157cca65a80
hex4b0260610

20135151120 has 160 divisors (see below), whose sum is σ = 71435427840. Its totient is φ = 4595904000.

The previous prime is 20135151109. The next prime is 20135151131. The reversal of 20135151120 is 2115153102.

It is an interprime number because it is at equal distance from previous prime (20135151109) and next prime (20135151131).

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

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, 1253701 + ... + 1269659.

It is an arithmetic number, because the mean of its divisors is an integer number (446471424).

Almost surely, 220135151120 is an apocalyptic number.

20135151120 is a gapful number since it is divisible by the number (20) 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 20135151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35717713920).

20135151120 is an abundant number, since it is smaller than the sum of its proper divisors (51300276720).

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

20135151120 is a wasteful number, since it uses less digits than its factorization.

20135151120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16733 (or 16727 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The spelling of 20135151120 in words is "twenty billion, one hundred thirty-five million, one hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 751 840 1502 1680 2253 3004 3755 4506 5257 6008 7510 9012 10514 11265 12016 15020 15771 15959 18024 21028 22530 26285 30040 31542 31918 36048 42056 45060 47877 52570 60080 63084 63836 78855 79795 84112 90120 95754 105140 111713 126168 127672 157710 159590 180240 191508 210280 223426 239385 252336 255344 315420 319180 335139 383016 420560 446852 478770 558565 630840 638360 670278 766032 893704 957540 1117130 1261680 1276720 1340556 1675695 1787408 1915080 2234260 2681112 3351390 3830160 4468520 5362224 6702780 8937040 11985209 13405560 23970418 26811120 35955627 47940836 59926045 71911254 83896463 95881672 119852090 143822508 167792926 179778135 191763344 239704180 251689389 287645016 335585852 359556270 419482315 479408360 503378778 575290032 671171704 719112540 838964630 958816720 1006757556 1258446945 1342343408 1438225080 1677929260 2013515112 2516893890 2876450160 3355858520 4027030224 5033787780 6711717040 10067575560 20135151120