Search a number
-
+
102130303031000 = 2353732415805167
BaseRepresentation
bin10111001110001100010000…
…011011101101011011011000
3111101121120011102022012020222
4113032030100123231123120
5101341300330033443000
61001114002525535212
730340446055140056
oct2716142033553330
9441546142265228
10102130303031000
112a5a6244590832
12b555653a14508
1344cab002a140a
141b311c10cd1d6
15bc199c01ca85
hex5ce3106ed6d8

102130303031000 has 128 divisors (see below), whose sum is σ = 243263939592960. Its totient is φ = 40125307392000.

The previous prime is 102130303030991. The next prime is 102130303031039. The reversal of 102130303031000 is 130303031201.

It is a super-2 number, since 2×1021303030310002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102130303031000.

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, 14690417 + ... + 20495583.

It is an arithmetic number, because the mean of its divisors is an integer number (1900499528070).

Almost surely, 2102130303031000 is an apocalyptic number.

102130303031000 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 102130303031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121631969796480).

102130303031000 is an abundant number, since it is smaller than the sum of its proper divisors (141133636561960).

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

102130303031000 is a wasteful number, since it uses less digits than its factorization.

102130303031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5805502 (or 5805488 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 102130303031000 its reverse (130303031201), we get a palindrome (102260606062201).

The spelling of 102130303031000 in words is "one hundred two trillion, one hundred thirty billion, three hundred three million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 241 250 292 365 482 500 584 730 964 1000 1205 1460 1825 1928 2410 2920 3650 4820 6025 7300 9125 9640 12050 14600 17593 18250 24100 30125 35186 36500 48200 60250 70372 73000 87965 120500 140744 175930 241000 351860 439825 703720 879650 1759300 2199125 3518600 4398250 5805167 8796500 11610334 17593000 23220668 29025835 46441336 58051670 116103340 145129175 232206680 290258350 423777191 580516700 725645875 847554382 1161033400 1399045247 1451291750 1695108764 2118885955 2798090494 2902583500 3390217528 4237771910 5596180988 5805167000 6995226235 8475543820 10594429775 11192361976 13990452470 16951087640 21188859550 27980904940 34976131175 42377719100 52972148875 55961809880 69952262350 84755438200 102130303031 105944297750 139904524700 174880655875 204260606062 211888595500 279809049400 349761311750 408521212124 423777191000 510651515155 699522623500 817042424248 1021303030310 1399045247000 2042606060620 2553257575775 4085212121240 5106515151550 10213030303100 12766287878875 20426060606200 25532575757750 51065151515500 102130303031000