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132031120113120 = 2535299484994261
BaseRepresentation
bin11110000001010011100100…
…000000110111110111100000
3122022111001101202211200110010
4132001103210000313313200
5114301144213222104440
61144450131555004520
736544635144621354
oct3601234400676740
9568431352750403
10132031120113120
11390840a1294668
1212984622b99740
135889634285077
1424864a9b4d464
15103e6746aa580
hex7814e4037de0

132031120113120 has 96 divisors (see below), whose sum is σ = 430239339724320. Its totient is φ = 33994219427840.

The previous prime is 132031120113043. The next prime is 132031120113229. The reversal of 132031120113120 is 21311021130231.

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

It is a super-2 number, since 2×1320311201131202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4742483211 + ... + 4742511050.

It is an arithmetic number, because the mean of its divisors is an integer number (4481659788795).

Almost surely, 2132031120113120 is an apocalyptic number.

132031120113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132031120113120 is an abundant number, since it is smaller than the sum of its proper divisors (298208219611200).

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

132031120113120 is a wasteful number, since it uses less digits than its factorization.

132031120113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9484994308 (or 9484994300 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 132031120113120 its reverse (21311021130231), we get a palindrome (153342141243351).

The spelling of 132031120113120 in words is "one hundred thirty-two trillion, thirty-one billion, one hundred twenty million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 13920 9484994261 18969988522 28454982783 37939977044 47424971305 56909965566 75879954088 94849942610 113819931132 142274913915 151759908176 189699885220 227639862264 275064833569 284549827830 303519816352 379399770440 455279724528 550129667138 569099655660 758799540880 825194500707 910559449056 1100259334276 1138199311320 1375324167845 1517599081760 1650389001414 2200518668552 2276398622640 2750648335690 3300778002828 4125972503535 4401037337104 4552797245280 5501296671380 6601556005656 8251945007070 8802074674208 11002593342760 13203112011312 16503890014140 22005186685520 26406224022624 33007780028280 44010373371040 66015560056560 132031120113120