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102200033321130 = 23571743424115227
BaseRepresentation
bin10111001111001101001100…
…101011101010000010101010
3111101212020011001010221202010
4113033031030223222002222
5101343421132012234010
61001210014104020350
730345465045624423
oct2717151453520252
9441766131127663
10102200033321130
112a622877507888
12b5670744616b6
134504563895014
141b34717d7864a
15bc36cdb04620
hex5cf34caea0aa

102200033321130 has 128 divisors (see below), whose sum is σ = 249144589725696. Its totient is φ = 26825239884800.

The previous prime is 102200033321119. The next prime is 102200033321159. The reversal of 102200033321130 is 31123330002201.

It is a junction number, because it is equal to n+sod(n) for n = 102200033321097 and 102200033321106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6711756577 + ... + 6711771803.

It is an arithmetic number, because the mean of its divisors is an integer number (1946442107232).

Almost surely, 2102200033321130 is an apocalyptic number.

102200033321130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200033321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124572294862848).

102200033321130 is an abundant number, since it is smaller than the sum of its proper divisors (146944556404566).

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

102200033321130 is a wasteful number, since it uses less digits than its factorization.

102200033321130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20292.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102200033321130 its reverse (31123330002201), we get a palindrome (133323363323331).

The spelling of 102200033321130 in words is "one hundred two trillion, two hundred billion, thirty-three million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 743 1065 1486 2130 2229 3715 4241 4458 7430 8482 11145 12723 15227 21205 22290 25446 30454 42410 45681 52753 63615 76135 91362 105506 127230 152270 158259 228405 263765 301111 316518 456810 527530 602222 791295 903333 1081117 1505555 1582590 1806666 2162234 3011110 3151063 3243351 4516665 5405585 6302126 6486702 9033330 9453189 10811170 11313661 15755315 16216755 18906378 22627322 31510630 32433510 33940983 47265945 56568305 64577707 67881966 94531890 113136610 129155414 169704915 193733121 223725473 322888535 339409830 387466242 447450946 645777070 671176419 803269931 968665605 1118627365 1342352838 1606539862 1937331210 2237254730 2409809793 3355882095 4016349655 4585017197 4819619586 6711764190 8032699310 9170034394 12049048965 13755051591 22925085985 24098097930 27510103182 45850171970 47981236301 68775257955 95962472602 137550515910 143943708903 239906181505 287887417806 479812363010 719718544515 1439437089030 3406667777371 6813335554742 10220003332113 17033338886855 20440006664226 34066677773710 51100016660565 102200033321130