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2021134120 = 235192991703
BaseRepresentation
bin111100001111000…
…0000111100101000
312012212010020210021
41320132000330220
513114402242440
6532315530224
7101041233205
oct17036007450
95185106707
102021134120
11947971a85
12484a59974
13262966a65
141525dacac
15bc68984a
hex78780f28

2021134120 has 64 divisors (see below), whose sum is σ = 4952016000. Its totient is φ = 739484928.

The previous prime is 2021134111. The next prime is 2021134123. The reversal of 2021134120 is 214311202.

It is a junction number, because it is equal to n+sod(n) for n = 2021134094 and 2021134103.

It is not an unprimeable number, because it can be changed into a prime (2021134123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23812 + ... + 67891.

It is an arithmetic number, because the mean of its divisors is an integer number (77375250).

Almost surely, 22021134120 is an apocalyptic number.

2021134120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021134120 is an abundant number, since it is smaller than the sum of its proper divisors (2930881880).

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

2021134120 is a wasteful number, since it uses less digits than its factorization.

2021134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91762 (or 91758 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2021134120 is about 44957.0252574612. The cubic root of 2021134120 is about 1264.3433963247.

Adding to 2021134120 its reverse (214311202), we get a palindrome (2235445322).

The spelling of 2021134120 in words is "two billion, twenty-one million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 760 1102 1160 2204 2755 4408 5510 11020 22040 91703 183406 366812 458515 733624 917030 1742357 1834060 2659387 3484714 3668120 5318774 6969428 8711785 10637548 13296935 13938856 17423570 21275096 26593870 34847140 50528353 53187740 69694280 101056706 106375480 202113412 252641765 404226824 505283530 1010567060 2021134120