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100334452016 = 24711011495869
BaseRepresentation
bin101110101110001100…
…1100011110100110000
3100120222110222021011102
41131130121203310300
53120441104431031
6114032031303532
710151244525161
oct1353431436460
9316873867142
10100334452016
1139608200927
121754197aba8
1395ccbb0a46
144bdb641768
1529237a17cb
hex175c663d30

100334452016 has 80 divisors (see below), whose sum is σ = 200458152000. Its totient is φ = 48633984000.

The previous prime is 100334452003. The next prime is 100334452061. The reversal of 100334452016 is 610254433001.

It is a super-2 number, since 2×1003344520162 (a number of 23 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 100334452016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17092730 + ... + 17098598.

It is an arithmetic number, because the mean of its divisors is an integer number (2505726900).

Almost surely, 2100334452016 is an apocalyptic number.

100334452016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100334452016 is a deficient number, since it is larger than the sum of its proper divisors (100123699984).

100334452016 is a wasteful number, since it uses less digits than its factorization.

100334452016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 100334452016 its reverse (610254433001), we get a palindrome (710588885017).

The spelling of 100334452016 in words is "one hundred billion, three hundred thirty-four million, four hundred fifty-two thousand, sixteen".

Divisors: 1 2 4 8 16 71 101 142 149 202 284 298 404 568 596 808 1136 1192 1616 2384 5869 7171 10579 11738 14342 15049 21158 23476 28684 30098 42316 46952 57368 60196 84632 93904 114736 120392 169264 240784 416699 592769 833398 874481 1068479 1185538 1666796 1748962 2136958 2371076 3333592 3497924 4273916 4742152 6667184 6995848 8547832 9484304 13991696 17095664 42086599 62088151 84173198 88322581 124176302 168346396 176645162 248352604 336692792 353290324 496705208 673385584 706580648 993410416 1413161296 6270903251 12541806502 25083613004 50167226008 100334452016