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102013020010 = 251121034491823
BaseRepresentation
bin101111100000001110…
…0110010011101101010
3100202022110111100120101
41133000130302131222
53132410313120020
6114510353020014
710240656235336
oct1370034623552
9322273440511
10102013020010
113a299765900
121792bb5460a
139809895145
144d1a5487c6
1529c0d2000a
hex17c073276a

102013020010 has 96 divisors (see below), whose sum is σ = 204359500800. Its totient is φ = 36633569280.

The previous prime is 102013020007. The next prime is 102013020049. The reversal of 102013020010 is 10020310201.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 47 ways as a sum of consecutive naturals, for example, 55957959 + ... + 55959781.

It is an arithmetic number, because the mean of its divisors is an integer number (2128744800).

Almost surely, 2102013020010 is an apocalyptic number.

102013020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102013020010 is an abundant number, since it is smaller than the sum of its proper divisors (102346480790).

102013020010 is a wasteful number, since it uses less digits than its factorization.

102013020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 102013020010 its reverse (10020310201), we get a palindrome (112033330211).

Subtracting from 102013020010 its reverse (10020310201), we obtain a square (91992709809 = 3033032).

The spelling of 102013020010 in words is "one hundred two billion, thirteen million, twenty thousand, ten".

Divisors: 1 2 5 10 11 22 55 103 110 121 206 242 449 515 605 898 1030 1133 1210 1823 2245 2266 3646 4490 4939 5665 9115 9878 11330 12463 18230 20053 24695 24926 40106 46247 49390 54329 62315 92494 100265 108658 124630 187769 200530 220583 231235 271645 375538 441166 462470 508717 543290 818527 938845 1017434 1102915 1637054 1877690 2065459 2205830 2543585 4092635 4130918 5087170 5595887 8185270 9003797 10327295 11191774 18007594 20654590 22720049 27979435 45018985 45440098 55958870 84308281 90037970 99041767 113600245 168616562 198083534 227200490 421541405 495208835 843082810 927391091 990417670 1854782182 4636955455 9273910910 10201302001 20402604002 51006510005 102013020010