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102104400310 = 25112933919439
BaseRepresentation
bin101111100010111100…
…1011000000110110110
3100202112211102221202221
41133011321120012312
53133102211302220
6114523415352554
710243146040243
oct1370571300666
9322484387687
10102104400310
113a3362aa210
121795668275a
1398227ab423
144d287345ca
1529c8d709aa
hex17c5e581b6

102104400310 has 64 divisors (see below), whose sum is σ = 207492710400. Its totient is φ = 35834198400.

The previous prime is 102104400289. The next prime is 102104400311. The reversal of 102104400310 is 13004401201.

It is a super-2 number, since 2×1021044003102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102104400311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10812571 + ... + 10822009.

It is an arithmetic number, because the mean of its divisors is an integer number (3242073600).

Almost surely, 2102104400310 is an apocalyptic number.

102104400310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102104400310 is an abundant number, since it is smaller than the sum of its proper divisors (105388310090).

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

102104400310 is a wasteful number, since it uses less digits than its factorization.

102104400310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12877.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102104400310 its reverse (13004401201), we get a palindrome (115108801511).

The spelling of 102104400310 in words is "one hundred two billion, one hundred four million, four hundred thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 29 55 58 110 145 290 319 638 1595 3190 3391 6782 9439 16955 18878 33910 37301 47195 74602 94390 98339 103829 186505 196678 207658 273731 373010 491695 519145 547462 983390 1038290 1081729 1368655 2163458 2737310 3011041 5408645 6022082 10817290 15055205 30110410 32007649 64015298 160038245 320076490 352084139 704168278 928221821 1760420695 1856443642 3520841390 4641109105 9282218210 10210440031 20420880062 51052200155 102104400310