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13022021103120 = 24325171063890613
BaseRepresentation
bin1011110101111110110011…
…1100010010111000010000
31201002220010001002110210100
42331133230330102320100
53201323044400244440
643410122305132400
72512544552032251
oct275375474227020
951086101073710
1013022021103120
11417067647a477
12156390862a100
13735c81cb8953
143303aa8dab28
15178aeca83230
hexbd7ecf12e10

13022021103120 has 120 divisors (see below), whose sum is σ = 46304775083736. Its totient is φ = 3268271960064.

The previous prime is 13022021103073. The next prime is 13022021103131. The reversal of 13022021103120 is 2130112022031.

13022021103120 is a `hidden beast` number, since 1 + 302 + 20 + 21 + 10 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5689255366656 + 7332765736464 = 2385216^2 + 2707908^2 .

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

It is a super-2 number, since 2×130220211031202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13022021103093 and 13022021103102.

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, 531933067 + ... + 531957546.

Almost surely, 213022021103120 is an apocalyptic number.

13022021103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022021103120 is an abundant number, since it is smaller than the sum of its proper divisors (33282753980616).

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

13022021103120 is a wasteful number, since it uses less digits than its factorization.

13022021103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063890649 (or 1063890640 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13022021103120 its reverse (2130112022031), we get a palindrome (15152133125151).

The spelling of 13022021103120 in words is "thirteen trillion, twenty-two billion, twenty-one million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 1063890613 2127781226 3191671839 4255562452 5319453065 6383343678 8511124904 9575015517 10638906130 12766687356 15958359195 17022249808 18086140421 19150031034 21277812260 25533374712 31916718390 36172280842 38300062068 42555624520 47875077585 51066749424 54258421263 63833436780 72344561684 76600124136 85111249040 90430702105 95750155170 108516842526 127666873560 144689123368 153200248272 162775263789 180861404210 191500310340 217033685052 255333747120 271292106315 289378246736 325550527578 361722808420 383000620680 434067370104 542584212630 651101055156 723445616840 766001241360 813876318945 868134740208 1085168425260 1302202110312 1446891233680 1627752637890 2170336850520 2604404220624 3255505275780 4340673701040 6511010551560 13022021103120