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10132113023040 = 263583127160053
BaseRepresentation
bin1001001101110001000011…
…1111110110000001000000
31022212121202101012012010210
42103130100333312001000
52312001031413214130
633314343425354120
72064010130455551
oct223342077660100
938777671165123
1010132113023040
113257006726688
121177808198940
135865b9a2a738
1427057b0b4328
1512885d5425b0
hex93710ff6040

10132113023040 has 112 divisors (see below), whose sum is σ = 32557042945728. Its totient is φ = 2669343811584.

The previous prime is 10132113022909. The next prime is 10132113023069. The reversal of 10132113023040 is 4032031123101.

It is a junction number, because it is equal to n+sod(n) for n = 10132113022998 and 10132113023016.

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 15 ways as a sum of consecutive naturals, for example, 63500347 + ... + 63659706.

It is an arithmetic number, because the mean of its divisors is an integer number (290687883444).

Almost surely, 210132113023040 is an apocalyptic number.

10132113023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132113023040 is an abundant number, since it is smaller than the sum of its proper divisors (22424929922688).

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

10132113023040 is a wasteful number, since it uses less digits than its factorization.

10132113023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127160156 (or 127160146 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10132113023040 its reverse (4032031123101), we get a palindrome (14164144146141).

The spelling of 10132113023040 in words is "ten trillion, one hundred thirty-two billion, one hundred thirteen million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 160 166 192 240 249 320 332 415 480 498 664 830 960 996 1245 1328 1660 1992 2490 2656 3320 3984 4980 5312 6640 7968 9960 13280 15936 19920 26560 39840 79680 127160053 254320106 381480159 508640212 635800265 762960318 1017280424 1271600530 1525920636 1907400795 2034560848 2543201060 3051841272 3814801590 4069121696 5086402120 6103682544 7629603180 8138243392 10172804240 10554284399 12207365088 15259206360 20345608480 21108568798 24414730176 30518412720 31662853197 40691216960 42217137596 52771421995 61036825440 63325706394 84434275192 105542843990 122073650880 126651412788 158314265985 168868550384 211085687980 253302825576 316628531970 337737100768 422171375960 506605651152 633257063940 675474201536 844342751920 1013211302304 1266514127880 1688685503840 2026422604608 2533028255760 3377371007680 5066056511520 10132113023040