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230122213032120 = 233543157928244033
BaseRepresentation
bin110100010100101110000000…
…110000110100000010111000
31010011210110122200201002220120
4310110232000300310002320
5220130310243014011440
62133232404002053240
766320531651444103
oct6424560060640270
91104713580632816
10230122213032120
1167362311a8a292
122198728764a220
139b5357c22a846
1440b7d901c773a
151b91018261dd0
hexd14b80c340b8

230122213032120 has 128 divisors (see below), whose sum is σ = 706869087724800. Its totient is φ = 59900846874624.

The previous prime is 230122213032113. The next prime is 230122213032161. The reversal of 230122213032120 is 21230312221032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5974377 + ... + 22269656.

It is an arithmetic number, because the mean of its divisors is an integer number (5522414747850).

Almost surely, 2230122213032120 is an apocalyptic number.

230122213032120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230122213032120 is an abundant number, since it is smaller than the sum of its proper divisors (476746874692680).

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

230122213032120 is a wasteful number, since it uses less digits than its factorization.

230122213032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28245669 (or 28245665 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 230122213032120 its reverse (21230312221032), we get a palindrome (251352525253152).

The spelling of 230122213032120 in words is "two hundred thirty trillion, one hundred twenty-two billion, two hundred thirteen million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1579 1720 2580 3158 4737 5160 6316 7895 9474 12632 15790 18948 23685 31580 37896 47370 63160 67897 94740 135794 189480 203691 271588 339485 407382 543176 678970 814764 1018455 1357940 1629528 2036910 2715880 4073820 8147640 28244033 56488066 84732099 112976132 141220165 169464198 225952264 282440330 338928396 423660495 564880660 677856792 847320990 1129761320 1214493419 1694641980 2428986838 3389283960 3643480257 4857973676 6072467095 7286960514 9715947352 12144934190 14573921028 18217401285 24289868380 29147842056 36434802570 44597328107 48579736760 72869605140 89194656214 133791984321 145739210280 178389312428 222986640535 267583968642 356778624856 445973281070 535167937284 668959921605 891946562140 1070335874568 1337919843210 1783893124280 1917685108601 2675839686420 3835370217202 5351679372840 5753055325803 7670740434404 9588425543005 11506110651606 15341480868808 19176851086010 23012221303212 28765276629015 38353702172020 46024442606424 57530553258030 76707404344040 115061106516060 230122213032120