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2132313000120 = 2333516981116269
BaseRepresentation
bin11111000001110111110…
…000100100100010111000
321112211212120002200021000
4133001313300210202320
5234413434112000440
64311323203445000
7310024463310012
oct37016760444270
97484776080230
102132313000120
11752344110166
122a530b386760
131260cb6b3314
14752c120d1b2
153a6ede2e730
hex1f077c248b8

2132313000120 has 128 divisors (see below), whose sum is σ = 7108189704000. Its totient is φ = 568578424320.

The previous prime is 2132313000101. The next prime is 2132313000179. The reversal of 2132313000120 is 210003132312.

2132313000120 is a `hidden beast` number, since 2 + 13 + 231 + 300 + 0 + 120 = 666.

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 = 2132313000093 and 2132313000102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18281346 + ... + 18397614.

Almost surely, 22132313000120 is an apocalyptic number.

2132313000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132313000120 is an abundant number, since it is smaller than the sum of its proper divisors (4975876703880).

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

2132313000120 is a wasteful number, since it uses less digits than its factorization.

2132313000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133270 (or 133260 counting only the distinct ones).

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

Adding to 2132313000120 its reverse (210003132312), we get a palindrome (2342316132432).

The spelling of 2132313000120 in words is "two trillion, one hundred thirty-two billion, three hundred thirteen million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 16981 33962 50943 67924 84905 101886 116269 135848 152829 169810 203772 232538 254715 305658 339620 348807 407544 458487 465076 509430 581345 611316 679240 697614 764145 916974 930152 1018860 1046421 1162690 1222632 1395228 1528290 1744035 1833948 2037720 2092842 2292435 2325380 2790456 3056580 3139263 3488070 3667896 4185684 4584870 4650760 5232105 6113160 6278526 6976140 8371368 9169740 10464210 12557052 13952280 15696315 18339480 20928420 25114104 31392630 41856840 62785260 125570520 1974363889 3948727778 5923091667 7897455556 9871819445 11846183334 15794911112 17769275001 19743638890 23692366668 29615458335 35538550002 39487277780 47384733336 53307825003 59230916670 71077100004 78974555560 88846375005 106615650006 118461833340 142154200008 177692750010 213231300012 236923666680 266539125015 355385500020 426462600024 533078250030 710771000040 1066156500060 2132313000120