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102004431320 = 235111920995813
BaseRepresentation
bin101111011111111110…
…0000001100111011000
3100202021212100000002202
41132333330001213120
53132401113300240
6114505444545332
710240523234411
oct1367774014730
9322255300082
10102004431320
113a29492a010
12179290b2248
139807b78a8c
144d19350808
1529c01c5315
hex17bff019d8

102004431320 has 128 divisors (see below), whose sum is σ = 263723040000. Its totient is φ = 35117498880.

The previous prime is 102004431293. The next prime is 102004431343. The reversal of 102004431320 is 23134400201.

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 = 102004431292 and 102004431301.

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, 17544734 + ... + 17550546.

It is an arithmetic number, because the mean of its divisors is an integer number (2060336250).

Almost surely, 2102004431320 is an apocalyptic number.

102004431320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102004431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131861520000).

102004431320 is an abundant number, since it is smaller than the sum of its proper divisors (161718608680).

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

102004431320 is a wasteful number, since it uses less digits than its factorization.

102004431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7953 (or 7949 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102004431320 its reverse (23134400201), we get a palindrome (125138831521).

The spelling of 102004431320 in words is "one hundred two billion, four million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 2099 4180 4198 5813 8360 8396 10495 11626 16792 20990 23089 23252 29065 39881 41980 46178 46504 58130 63943 79762 83960 92356 110447 115445 116260 127886 159524 184712 199405 220894 230890 232520 255772 319048 319715 398810 438691 441788 461780 511544 552235 639430 797620 877382 883576 923560 1104470 1214917 1278860 1595240 1754764 2193455 2208940 2429834 2557720 3509528 4386910 4417880 4859668 6074585 8773820 9719336 12149170 12201487 17547640 24298340 24402974 48596680 48805948 61007435 97611896 122014870 134216357 231828253 244029740 268432714 463656506 488059480 536865428 671081785 927313012 1073730856 1159141265 1342163570 1854626024 2318282530 2550110783 2684327140 4636565060 5100221566 5368654280 9273130120 10200443132 12750553915 20400886264 25501107830 51002215660 102004431320