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2020131013120 = 29511229731231
BaseRepresentation
bin11101011001011001001…
…100010000001000000000
321011010022101220021102121
4131121121030100020000
5231044212014404440
64144011350254024
7265643505202303
oct35313114201000
97133271807377
102020131013120
11709807323a10
12287621957314
1311866112095c
146dabc31ab3a
15378354c734a
hex1d659310200

2020131013120 has 160 divisors (see below), whose sum is σ = 5286374793216. Its totient is φ = 734249779200.

The previous prime is 2020131013097. The next prime is 2020131013171. The reversal of 2020131013120 is 213101310202.

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

It is a super-2 number, since 2×20201310131202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2020131013094 and 2020131013103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64667905 + ... + 64699135.

Almost surely, 22020131013120 is an apocalyptic number.

2020131013120 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 2020131013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643187396608).

2020131013120 is an abundant number, since it is smaller than the sum of its proper divisors (3266243780096).

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

2020131013120 is a wasteful number, since it uses less digits than its factorization.

2020131013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33562 (or 33546 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2020131013120 its reverse (213101310202), we get a palindrome (2233232323322).

The spelling of 2020131013120 in words is "two trillion, twenty billion, one hundred thirty-one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2297 2560 2816 3520 4594 5632 7040 9188 11485 14080 18376 22970 25267 28160 31231 36752 45940 50534 62462 73504 91880 101068 124924 126335 147008 156155 183760 202136 249848 252670 294016 312310 343541 367520 404272 499696 505340 588032 624620 687082 735040 808544 999392 1010680 1176064 1249240 1374164 1470080 1617088 1717705 1998784 2021360 2498480 2748328 2940160 3234176 3435410 3997568 4042720 4996960 5496656 5880320 6468352 6870820 7995136 8085440 9993920 10993312 12936704 13741640 15990272 16170880 19987840 21986624 27483280 32341760 39975680 43973248 54966560 64683520 71737607 79951360 87946496 109933120 143475214 175892992 219866240 286950428 358688035 439732480 573900856 717376070 789113677 879464960 1147801712 1434752140 1578227354 2295603424 2869504280 3156454708 3945568385 4591206848 5739008560 6312909416 7891136770 9182413696 11478017120 12625818832 15782273540 18364827392 22956034240 25251637664 31564547080 36729654784 45912068480 50503275328 63129094160 91824136960 101006550656 126258188320 183648273920 202013101312 252516376640 404026202624 505032753280 1010065506560 2020131013120