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132231013001120 = 25511679111063357
BaseRepresentation
bin11110000100001101101110…
…100011101110011110100000
3122100012011100122120111220102
4132010031232203232132200
5114312433103312013440
61145122031101201532
736565242525262445
oct3604155643563640
9570164318514812
10132231013001120
1139150948646a50
12129b730a8602a8
1358a243c340557
14249202d90b9cc
151044973522b15
hex78436e8ee7a0

132231013001120 has 96 divisors (see below), whose sum is σ = 340845597703296. Its totient is φ = 48076919833600.

The previous prime is 132231013001071. The next prime is 132231013001147. The reversal of 132231013001120 is 21100310132231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132231013001092 and 132231013001101.

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, 6420482 + ... + 17483838.

It is an arithmetic number, because the mean of its divisors is an integer number (3550474976076).

Almost surely, 2132231013001120 is an apocalyptic number.

132231013001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132231013001120 is an abundant number, since it is smaller than the sum of its proper divisors (208614584702176).

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

132231013001120 is a wasteful number, since it uses less digits than its factorization.

132231013001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11070174 (or 11070166 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 132231013001120 its reverse (21100310132231), we get a palindrome (153331323133351).

The spelling of 132231013001120 in words is "one hundred thirty-two trillion, two hundred thirty-one billion, thirteen million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 6791 13582 27164 33955 54328 67910 74701 108656 135820 149402 217312 271640 298804 373505 543280 597608 747010 1086560 1195216 1494020 2390432 2988040 5976080 11063357 11952160 22126714 44253428 55316785 88506856 110633570 121696927 177013712 221267140 243393854 354027424 442534280 486787708 608484635 885068560 973575416 1216969270 1770137120 1947150832 2433938540 3894301664 4867877080 9735754160 19471508320 75131257387 150262514774 300525029548 375656286935 601050059096 751312573870 826443831257 1202100118192 1502625147740 1652887662514 2404200236384 3005250295480 3305775325028 4132219156285 6010500590960 6611550650056 8264438312570 12021001181920 13223101300112 16528876625140 26446202600224 33057753250280 66115506500560 132231013001120