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230201232120 = 23345101703463
BaseRepresentation
bin1101011001100100010…
…0000000101011111000
3211000012010020020110000
43112121010000223320
512232423003411440
6253430351153000
722426413121266
oct3263104005370
9730163206400
10230201232120
118969a659972
1238745b15760
13189282b0322
14b1db14d436
155ec4a9c730
hex3599100af8

230201232120 has 160 divisors (see below), whose sum is σ = 781393741920. Its totient is φ = 60779116800.

The previous prime is 230201232101. The next prime is 230201232127. The reversal of 230201232120 is 21232102032.

230201232120 is a `hidden beast` number, since 230 + 201 + 23 + 212 + 0 = 666.

It is a super-2 number, since 2×2302012321202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230201232093 and 230201232102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230201232127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24492 + ... + 678971.

It is an arithmetic number, because the mean of its divisors is an integer number (4883710887).

Almost surely, 2230201232120 is an apocalyptic number.

230201232120 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 230201232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390696870960).

230201232120 is an abundant number, since it is smaller than the sum of its proper divisors (551192509800).

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

230201232120 is a wasteful number, since it uses less digits than its factorization.

230201232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703587 (or 703574 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230201232120 its reverse (21232102032), we get a palindrome (251433334152).

The spelling of 230201232120 in words is "two hundred thirty billion, two hundred one million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 101 108 120 135 162 180 202 216 270 303 324 360 404 405 505 540 606 648 808 810 909 1010 1080 1212 1515 1620 1818 2020 2424 2727 3030 3240 3636 4040 4545 5454 6060 7272 8181 9090 10908 12120 13635 16362 18180 21816 27270 32724 36360 40905 54540 65448 81810 109080 163620 327240 703463 1406926 2110389 2813852 3517315 4220778 5627704 6331167 7034630 8441556 10551945 12662334 14069260 16883112 18993501 21103890 25324668 28138520 31655835 37987002 42207780 50649336 56980503 63311670 71049763 75974004 84415560 94967505 113961006 126623340 142099526 151948008 189935010 213149289 227922012 253246680 284199052 284902515 355248815 379870020 426298578 455844024 568398104 569805030 639447867 710497630 759740040 852597156 1065746445 1139610060 1278895734 1420995260 1705194312 1918343601 2131492890 2279220120 2557791468 2841990520 3197239335 3836687202 4262985780 5115582936 5755030803 6394478670 7673374404 8525971560 9591718005 11510061606 12788957340 15346748808 19183436010 23020123212 25577914680 28775154015 38366872020 46040246424 57550308030 76733744040 115100616060 230201232120