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20101011120 = 2432545676113
BaseRepresentation
bin10010101110000111…
…010001011010110000
31220212212121011110100
4102232013101122300
5312131324323440
613122334232400
71311056526651
oct225607213260
956785534410
1020101011120
118585551193
123a8b955700
131b845b3728
14d8989b528
157c9a70230
hex4ae1d16b0

20101011120 has 120 divisors (see below), whose sum is σ = 67531722336. Its totient is φ = 5358219264.

The previous prime is 20101011113. The next prime is 20101011137. The reversal of 20101011120 is 2111010102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3285184 + ... + 3291296.

Almost surely, 220101011120 is an apocalyptic number.

20101011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101011120 is an abundant number, since it is smaller than the sum of its proper divisors (47430711216).

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

20101011120 is a wasteful number, since it uses less digits than its factorization.

20101011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10699 (or 10690 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20101011120 its reverse (2111010102), we get a palindrome (22212021222).

The spelling of 20101011120 in words is "twenty billion, one hundred one million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4567 6113 9134 12226 13701 18268 18339 22835 24452 27402 30565 36536 36678 41103 45670 48904 54804 55017 61130 68505 73072 73356 82206 91340 91695 97808 109608 110034 122260 137010 146712 164412 182680 183390 205515 219216 220068 244520 274020 275085 293424 328824 365360 366780 411030 440136 489040 548040 550170 657648 733560 822060 880272 1096080 1100340 1467120 1644120 2200680 3288240 4401360 27918071 55836142 83754213 111672284 139590355 167508426 223344568 251262639 279180710 335016852 418771065 446689136 502525278 558361420 670033704 837542130 1005050556 1116722840 1256313195 1340067408 1675084260 2010101112 2233445680 2512626390 3350168520 4020202224 5025252780 6700337040 10050505560 20101011120