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100313121330 = 2335973830207
BaseRepresentation
bin101110101101100100…
…0001100001000110010
3100120220222211112222000
41131123020030020302
53120420124340310
6114025550154430
710150565314452
oct1353310141062
9316828745860
10100313121330
11395a7161864
12175367b2a16
1395c8652a36
144bd888bd62
15292198b4c0
hex175b20c232

100313121330 has 64 divisors (see below), whose sum is σ = 270259476480. Its totient is φ = 26474383872.

The previous prime is 100313121323. The next prime is 100313121353. The reversal of 100313121330 is 33121313001.

It is a happy number.

100313121330 is a `hidden beast` number, since 1 + 0 + 0 + 313 + 1 + 21 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1888914 + ... + 1941293.

It is an arithmetic number, because the mean of its divisors is an integer number (4222804320).

Almost surely, 2100313121330 is an apocalyptic number.

100313121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100313121330 is an abundant number, since it is smaller than the sum of its proper divisors (169946355150).

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

100313121330 is a wasteful number, since it uses less digits than its factorization.

100313121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830320 (or 3830314 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100313121330 its reverse (33121313001), we get a palindrome (133434434331).

The spelling of 100313121330 in words is "one hundred billion, three hundred thirteen million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 97 135 194 270 291 485 582 873 970 1455 1746 2619 2910 4365 5238 8730 13095 26190 3830207 7660414 11490621 19151035 22981242 34471863 38302070 57453105 68943726 103415589 114906210 172359315 206831178 344718630 371530079 517077945 743060158 1034155890 1114590237 1857650395 2229180474 3343770711 3715300790 5572951185 6687541422 10031312133 11145902370 16718853555 20062624266 33437707110 50156560665 100313121330