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103920194224 = 24711121369539
BaseRepresentation
bin110000011001000100…
…0000101001010110000
3100221020101011211202101
41200302020011022300
53200312032203344
6115423522230144
710336145035120
oct1406210051260
9327211154671
10103920194224
1140088271040
12181827b5354
139a51a3b2b2
14505b95cc80
152a834989d4
hex18322052b0

103920194224 has 80 divisors (see below), whose sum is σ = 251238562560. Its totient is φ = 40454426880.

The previous prime is 103920194221. The next prime is 103920194227. The reversal of 103920194224 is 422491029301.

It is an interprime number because it is at equal distance from previous prime (103920194221) and next prime (103920194227).

It is not an unprimeable number, because it can be changed into a prime (103920194221) 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, 1459647 + ... + 1529185.

It is an arithmetic number, because the mean of its divisors is an integer number (3140482032).

Almost surely, 2103920194224 is an apocalyptic number.

103920194224 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 103920194224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125619281280).

103920194224 is an abundant number, since it is smaller than the sum of its proper divisors (147318368336).

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

103920194224 is a wasteful number, since it uses less digits than its factorization.

103920194224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70778 (or 70772 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 103920194224 in words is "one hundred three billion, nine hundred twenty million, one hundred ninety-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1213 1232 2426 4852 8491 9704 13343 16982 19408 26686 33964 53372 67928 69539 93401 106744 135856 139078 186802 213488 278156 373604 486773 556312 747208 764929 973546 1112624 1494416 1529858 1947092 3059716 3894184 5354503 6119432 7788368 10709006 12238864 21418012 42836024 84350807 85672048 168701614 337403228 590455649 674806456 927858877 1180911298 1349612912 1855717754 2361822596 3711435508 4723645192 6495012139 7422871016 9447290384 12990024278 14845742032 25980048556 51960097112 103920194224