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202232130321120 = 2535586771811307
BaseRepresentation
bin101101111110110111010110…
…010010100011101011100000
3222112001012110212122000121020
4231332313112102203223200
5203001332400330233440
61554040054052525440
760411534500066304
oct5576672622435340
9875035425560536
10202232130321120
115948a18a427129
121a821b37320880
1388ac53c680543
1437d21318ddd04
15185a7c61713d0
hexb7edd64a3ae0

202232130321120 has 96 divisors (see below), whose sum is σ = 637139798080128. Its totient is φ = 53919375487488.

The previous prime is 202232130321103. The next prime is 202232130321127. The reversal of 202232130321120 is 21123031232202.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202232130321127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33089494 + ... + 38721813.

It is an arithmetic number, because the mean of its divisors is an integer number (6636872896668).

Almost surely, 2202232130321120 is an apocalyptic number.

202232130321120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202232130321120 is an abundant number, since it is smaller than the sum of its proper divisors (434907667759008).

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

202232130321120 is a wasteful number, since it uses less digits than its factorization.

202232130321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71817192 (or 71817184 counting only the distinct ones).

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

Adding to 202232130321120 its reverse (21123031232202), we get a palindrome (223355161553322).

The spelling of 202232130321120 in words is "two hundred two trillion, two hundred thirty-two billion, one hundred thirty million, three hundred 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 80 96 120 160 240 480 5867 11734 17601 23468 29335 35202 46936 58670 70404 88005 93872 117340 140808 176010 187744 234680 281616 352020 469360 563232 704040 938720 1408080 2816160 71811307 143622614 215433921 287245228 359056535 430867842 574490456 718113070 861735684 1077169605 1148980912 1436226140 1723471368 2154339210 2297961824 2872452280 3446942736 4308678420 5744904560 6893885472 8617356840 11489809120 17234713680 34469427360 421316938169 842633876338 1263950814507 1685267752676 2106584690845 2527901629014 3370535505352 4213169381690 5055803258028 6319754072535 6741071010704 8426338763380 10111606516056 12639508145070 13482142021408 16852677526760 20223213032112 25279016290140 33705355053520 40446426064224 50558032580280 67410710107040 101116065160560 202232130321120