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201231121311120 = 243523199183190519
BaseRepresentation
bin101101110000010011000101…
…100000001110010110010000
3222101111111200211120120121110
4231300103011200032112100
5202333432314023423440
61551552144555453320
760246316530642165
oct5560230540162620
9871444624516543
10201231121311120
115913370399407a
121a69bb33457240
138839023341784
1437998d148206c
15183e73b049080
hexb704c580e590

201231121311120 has 160 divisors (see below), whose sum is σ = 654209985024000. Its totient is φ = 51070585370112.

The previous prime is 201231121311113. The next prime is 201231121311149. The reversal of 201231121311120 is 21113121132102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90496780 + ... + 92693739.

It is an arithmetic number, because the mean of its divisors is an integer number (4088812406400).

Almost surely, 2201231121311120 is an apocalyptic number.

201231121311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201231121311120 is an abundant number, since it is smaller than the sum of its proper divisors (452978863712880).

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

201231121311120 is a wasteful number, since it uses less digits than its factorization.

201231121311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183190757 (or 183190751 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 201231121311120 its reverse (21113121132102), we get a palindrome (222344242443222).

The spelling of 201231121311120 in words is "two hundred one trillion, two hundred thirty-one billion, one hundred twenty-one million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 199 230 240 276 345 368 398 460 552 597 690 796 920 995 1104 1194 1380 1592 1840 1990 2388 2760 2985 3184 3980 4577 4776 5520 5970 7960 9154 9552 11940 13731 15920 18308 22885 23880 27462 36616 45770 47760 54924 68655 73232 91540 109848 137310 183080 219696 274620 366160 549240 1098480 183190519 366381038 549571557 732762076 915952595 1099143114 1465524152 1831905190 2198286228 2747857785 2931048304 3663810380 4213381937 4396572456 5495715570 7327620760 8426763874 8793144912 10991431140 12640145811 14655241520 16853527748 21066909685 21982862280 25280291622 33707055496 36454913281 42133819370 43965724560 50560583244 63200729055 67414110992 72909826562 84267638740 101121166488 109364739843 126401458110 145819653124 168535277480 182274566405 202242332976 218729479686 252802916220 291639306248 337070554960 364549132810 437458959372 505605832440 546823699215 583278612496 729098265620 838463005463 874917918744 1011211664880 1093647398430 1458196531240 1676926010926 1749835837488 2187294796860 2515389016389 2916393062480 3353852021852 4192315027315 4374589593720 5030778032778 6707704043704 8384630054630 8749179187440 10061556065556 12576945081945 13415408087408 16769260109260 20123112131112 25153890163890 33538520218520 40246224262224 50307780327780 67077040437040 100615560655560 201231121311120