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100613215444 = 227231193130957
BaseRepresentation
bin101110110110100000…
…0111101010011010100
3100121200220111220200211
41131231000331103110
53122023440343234
6114115430215204
710161201135430
oct1355500752324
9317626456624
10100613215444
113974059aa25
12175bb1b4504
139645884611
144c266879c0
15293ceb8164
hex176d03d4d4

100613215444 has 48 divisors (see below), whose sum is σ = 210153017088. Its totient is φ = 41210281728.

The previous prime is 100613215433. The next prime is 100613215453. The reversal of 100613215444 is 444512316001.

100613215444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 702814 + ... + 833770.

It is an arithmetic number, because the mean of its divisors is an integer number (4378187856).

Almost surely, 2100613215444 is an apocalyptic number.

100613215444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100613215444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105076508544).

100613215444 is an abundant number, since it is smaller than the sum of its proper divisors (109539801644).

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

100613215444 is a wasteful number, since it uses less digits than its factorization.

100613215444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132184 (or 132182 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 100613215444 in words is "one hundred billion, six hundred thirteen million, two hundred fifteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 1193 2386 4772 8351 16702 27439 33404 54878 109756 130957 192073 261914 384146 523828 768292 916699 1833398 3012011 3666796 6024022 12048044 21084077 42168154 84336308 156231701 312463402 624926804 1093621907 2187243814 3593329123 4374487628 7186658246 14373316492 25153303861 50306607722 100613215444