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103223213200032 = 2531433750343199
BaseRepresentation
bin10111011110000110000110…
…111101001001001010100000
3111112111001011012121020021120
4113132012012331021022200
5102012202120034400112
61003312031155452240
730512426310245352
oct2736060675111240
9445431135536246
10103223213200032
112a98779a911892
12b6b14252b7080
134579ba4280723
141b6c05cb350d2
15be011535ce8c
hex5de186f492a0

103223213200032 has 48 divisors (see below), whose sum is σ = 271150021497600. Its totient is φ = 34383726705152.

The previous prime is 103223213200007. The next prime is 103223213200073. The reversal of 103223213200032 is 230002312322301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 103223213199975 and 103223213200011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375034032 + ... + 375309167.

It is an arithmetic number, because the mean of its divisors is an integer number (5648958781200).

Almost surely, 2103223213200032 is an apocalyptic number.

103223213200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103223213200032 is an abundant number, since it is smaller than the sum of its proper divisors (167926808297568).

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

103223213200032 is a wasteful number, since it uses less digits than its factorization.

103223213200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750344645 (or 750344637 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 103223213200032 its reverse (230002312322301), we get a palindrome (333225525522333).

The spelling of 103223213200032 in words is "one hundred three trillion, two hundred twenty-three billion, two hundred thirteen million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1433 2866 4299 5732 8598 11464 17196 22928 34392 45856 68784 137568 750343199 1500686398 2251029597 3001372796 4502059194 6002745592 9004118388 12005491184 18008236776 24010982368 36016473552 72032947104 1075241804167 2150483608334 3225725412501 4300967216668 6451450825002 8601934433336 12902901650004 17203868866672 25805803300008 34407737733344 51611606600016 103223213200032