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23310021120 = 293511872557
BaseRepresentation
bin10101101101011000…
…101011001000000000
32020011111220202121120
4111231120223020000
5340214331133440
614413010352240
71453433624151
oct255530531000
966144822546
1023310021120
119981998971
12462658b680
132276388309
1411b1b4d928
1591664cdd0
hex56d62b200

23310021120 has 160 divisors (see below), whose sum is σ = 74611171008. Its totient is φ = 6208339968.

The previous prime is 23310021113. The next prime is 23310021131. The reversal of 23310021120 is 2112001332.

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

It is a super-2 number, since 2×233100211202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23310021120.

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, 9114882 + ... + 9117438.

Almost surely, 223310021120 is an apocalyptic number.

23310021120 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 23310021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37305585504).

23310021120 is an abundant number, since it is smaller than the sum of its proper divisors (51301149888).

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

23310021120 is a wasteful number, since it uses less digits than its factorization.

23310021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23310021120 its reverse (2112001332), we get a palindrome (25422022452).

The spelling of 23310021120 in words is "twenty-three billion, three hundred ten million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1187 1280 1536 1920 2374 2557 2560 3561 3840 4748 5114 5935 7122 7671 7680 9496 10228 11870 12785 14244 15342 17805 18992 20456 23740 25570 28488 30684 35610 37984 38355 40912 47480 51140 56976 61368 71220 75968 76710 81824 94960 102280 113952 122736 142440 151936 153420 163648 189920 204560 227904 245472 284880 303872 306840 327296 379840 409120 455808 490944 569760 607744 613680 654592 759680 818240 911616 981888 1139520 1227360 1309184 1519360 1636480 1823232 1963776 2279040 2454720 3035159 3038720 3272960 3927552 4558080 4909440 6070318 6545920 9105477 9116160 9818880 12140636 15175795 18210954 19637760 24281272 30351590 36421908 45527385 48562544 60703180 72843816 91054770 97125088 121406360 145687632 182109540 194250176 242812720 291375264 364219080 388500352 485625440 582750528 728438160 777000704 971250880 1165501056 1456876320 1554001408 1942501760 2331002112 2913752640 3885003520 4662004224 5827505280 7770007040 11655010560 23310021120