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230201313120 = 2534517762447
BaseRepresentation
bin1101011001100100010…
…0010100011101100000
3211000012010101100120000
43112121010110131200
512232423014004440
6253430353020000
722426413606402
oct3263104243540
9730163340500
10230201313120
118969a704809
1238745b54600
131892830b15c
14b1db170b72
155ec4ab6730
hex3599114760

230201313120 has 120 divisors (see below), whose sum is σ = 812418846624. Its totient is φ = 61387013376.

The previous prime is 230201313091. The next prime is 230201313149. The reversal of 230201313120 is 21313102032.

230201313120 is a `hidden beast` number, since 2 + 30 + 201 + 313 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (230201313091) and next prime (230201313149).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 230201313093 and 230201313102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8868264 + ... + 8894183.

Almost surely, 2230201313120 is an apocalyptic number.

230201313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230201313120 is an abundant number, since it is smaller than the sum of its proper divisors (582217533504).

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

230201313120 is a wasteful number, since it uses less digits than its factorization.

230201313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17762474 (or 17762457 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230201313120 its reverse (21313102032), we get a palindrome (251514415152).

The spelling of 230201313120 in words is "two hundred thirty billion, two hundred one million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 17762447 35524894 53287341 71049788 88812235 106574682 142099576 159862023 177624470 213149364 266436705 284199152 319724046 355248940 426298728 479586069 532873410 568398304 639448092 710497880 799310115 852597456 959172138 1065746820 1278896184 1420995760 1438758207 1598620230 1705194912 1918344276 2131493640 2397930345 2557792368 2841991520 2877516414 3197240460 3836688552 4262987280 4795860690 5115584736 5755032828 6394480920 7193791035 7673377104 8525974560 9591721380 11510065656 12788961840 14387582070 15346754208 19183442760 23020131312 25577923680 28775164140 38366885520 46040262624 57550328280 76733771040 115100656560 230201313120