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230120210100 = 223521197718901
BaseRepresentation
bin1101011001010000111…
…0111011111010110100
3210222222110202220010110
43112110032323322310
512232241233210400
6253414334423020
722424410340424
oct3262416737264
9728873686113
10230120210100
118965894a920
1238722961a70
13189145829c1
14b1d049c484
155ebc8e5e50
hex35943bbeb4

230120210100 has 144 divisors (see below), whose sum is σ = 733832156736. Its totient is φ = 55211520000.

The previous prime is 230120210081. The next prime is 230120210119. The reversal of 230120210100 is 1012021032.

It is an interprime number because it is at equal distance from previous prime (230120210081) and next prime (230120210119).

It is a super-2 number, since 2×2301202101002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39351 + ... + 679550.

It is an arithmetic number, because the mean of its divisors is an integer number (5096056644).

Almost surely, 2230120210100 is an apocalyptic number.

230120210100 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 230120210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366916078368).

230120210100 is an abundant number, since it is smaller than the sum of its proper divisors (503711946636).

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

230120210100 is a wasteful number, since it uses less digits than its factorization.

230120210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719026 (or 719019 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 230120210100 its reverse (1012021032), we get a palindrome (231132231132).

The spelling of 230120210100 in words is "two hundred thirty billion, one hundred twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 97 100 110 132 150 165 194 220 275 291 300 330 388 485 550 582 660 825 970 1067 1100 1164 1455 1650 1940 2134 2425 2910 3201 3300 4268 4850 5335 5820 6402 7275 9700 10670 12804 14550 16005 21340 26675 29100 32010 53350 64020 80025 106700 160050 320100 718901 1437802 2156703 2875604 3594505 4313406 7189010 7907911 8626812 10783515 14378020 15815822 17972525 21567030 23723733 31631644 35945050 39539555 43134060 47447466 53917575 69733397 71890100 79079110 94894932 107835150 118618665 139466794 158158220 197697775 209200191 215670300 237237330 278933588 348666985 395395550 418400382 474474660 593093325 697333970 767067367 790791100 836800764 1046000955 1186186650 1394667940 1534134734 1743334925 2092001910 2301202101 2372373300 3068269468 3486669850 3835336835 4184003820 4602404202 5230004775 6973339700 7670673670 9204808404 10460009550 11506010505 15341347340 19176684175 20920019100 23012021010 38353368350 46024042020 57530052525 76706736700 115060105050 230120210100