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103004033392 = 24131995094889
BaseRepresentation
bin101111111101110000…
…1001101000101110000
3100211212112021001100201
41133323201031011300
53141423013032032
6115152553524544
710304351560231
oct1377341150560
9324775231321
10103004033392
113a758100927
1217b67a13754
139936ca6ab0
144db1dd7088
152a2cd288e7
hex17fb84d170

103004033392 has 80 divisors (see below), whose sum is σ = 216470520000. Its totient is φ = 47198840832.

The previous prime is 103004033383. The next prime is 103004033393. The reversal of 103004033392 is 293330400301.

It is a self number, because there is not a number n which added to its sum of digits gives 103004033392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103004033393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21066084 + ... + 21070972.

It is an arithmetic number, because the mean of its divisors is an integer number (2705881500).

Almost surely, 2103004033392 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 103004033392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108235260000).

103004033392 is an abundant number, since it is smaller than the sum of its proper divisors (113466486608).

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

103004033392 is a wasteful number, since it uses less digits than its factorization.

103004033392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5618 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 103004033392 its reverse (293330400301), we get a palindrome (396334433693).

The spelling of 103004033392 in words is "one hundred three billion, four million, thirty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 104 199 208 398 509 796 1018 1592 2036 2587 3184 4072 4889 5174 6617 8144 9778 10348 13234 19556 20696 26468 39112 41392 52936 63557 78224 101291 105872 127114 202582 254228 405164 508456 810328 972911 1016912 1316783 1620656 1945822 2488501 2633566 3891644 4977002 5267132 7783288 9954004 10534264 12647843 15566576 19908008 21068528 25295686 32350513 39816016 50591372 64701026 101182744 129402052 202365488 258804104 495211699 517608208 990423398 1980846796 3961693592 6437752087 7923387184 12875504174 25751008348 51502016696 103004033392