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100010310004 = 221117223341953
BaseRepresentation
bin101110100100100010…
…1000011100101110100
3100120010220001010220201
41131021011003211310
53114310114410004
6113535532010244
710140230415553
oct1351105034564
9316126033821
10100010310004
1139461238170
1217471300984
13957a9ac437
144baa585d9a
1529050c46a4
hex1749143974

100010310004 has 72 divisors (see below), whose sum is σ = 211639434048. Its totient is φ = 40924815360.

The previous prime is 100010309999. The next prime is 100010310047. The reversal of 100010310004 is 400013010001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121492 + ... + 463444.

It is an arithmetic number, because the mean of its divisors is an integer number (2939436584).

Almost surely, 2100010310004 is an apocalyptic number.

It is an amenable number.

100010310004 is an abundant number, since it is smaller than the sum of its proper divisors (111629124044).

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

100010310004 is a wasteful number, since it uses less digits than its factorization.

100010310004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342025 (or 342006 counting only the distinct ones).

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

Adding to 100010310004 its reverse (400013010001), we get a palindrome (500023320005).

It can be divided in two parts, 100010 and 310004, that added together give a palindrome (410014).

The spelling of 100010310004 in words is "one hundred billion, ten million, three hundred ten thousand, four".

Divisors: 1 2 4 11 17 22 23 34 44 46 68 92 187 253 289 374 391 506 578 748 782 1012 1156 1564 3179 4301 6358 6647 8602 12716 13294 17204 26588 73117 146234 292468 341953 683906 1367812 3761483 5813201 7522966 7864919 11626402 15045932 15729838 23252804 31459676 63945211 86514109 98824417 127890422 133703623 173028218 197648834 255780844 267407246 346056436 395297668 534814492 1087068587 1470739853 2174137174 2272961591 2941479706 4348274348 4545923182 5882959412 9091846364 25002577501 50005155002 100010310004