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103251243624 = 23337433268531
BaseRepresentation
bin110000000101001000…
…0001111001001101000
3100212111202102122001020
41200022100033021220
53142424304243444
6115233304252440
710313443042614
oct1401220171150
9325452378036
10103251243624
113a8746a9601
1218016771120
139976280739
144dd6b88344
152a448ab119
hex180a40f268

103251243624 has 64 divisors (see below), whose sum is σ = 265717784640. Its totient is φ = 33409428480.

The previous prime is 103251243611. The next prime is 103251243631. The reversal of 103251243624 is 426342152301.

103251243624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250239 + ... + 518769.

It is an arithmetic number, because the mean of its divisors is an integer number (4151840385).

Almost surely, 2103251243624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103251243624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132858892320).

103251243624 is an abundant number, since it is smaller than the sum of its proper divisors (162466541016).

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

103251243624 is a wasteful number, since it uses less digits than its factorization.

103251243624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269010 (or 269006 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 103251243624 its reverse (426342152301), we get a palindrome (529593395925).

The spelling of 103251243624 in words is "one hundred three billion, two hundred fifty-one million, two hundred forty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 433 444 866 888 1299 1732 2598 3464 5196 10392 16021 32042 48063 64084 96126 128168 192252 268531 384504 537062 805593 1074124 1611186 2148248 3222372 6444744 9935647 19871294 29806941 39742588 59613882 79485176 116273923 119227764 232547846 238455528 348821769 465095692 697643538 930191384 1395287076 2790574152 4302135151 8604270302 12906405453 17208540604 25812810906 34417081208 51625621812 103251243624