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103921194000 = 24353137318251
BaseRepresentation
bin110000011001000101…
…1111001010000010000
3100221020110001122012010
41200302023321100100
53200312311202000
6115423555502520
710336156400661
oct1406213712020
9327213048163
10103921194000
11400888941a8
1218182bb7a40
139a51ccb390
14505bb3d368
152a835e4d50
hex18322f9410

103921194000 has 320 divisors, whose sum is σ = 365777088768. Its totient is φ = 25228800000.

The previous prime is 103921193989. The next prime is 103921194001. The reversal of 103921194000 is 491129301.

It is a super-2 number, since 2×1039211940002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (103921194001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5684875 + ... + 5703125.

Almost surely, 2103921194000 is an apocalyptic number.

103921194000 is a gapful number since it is divisible by the number (10) 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 103921194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182888544384).

103921194000 is an abundant number, since it is smaller than the sum of its proper divisors (261855894768).

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

103921194000 is a wasteful number, since it uses less digits than its factorization.

103921194000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18363 (or 18347 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 103921194000 in words is "one hundred three billion, nine hundred twenty-one million, one hundred ninety-four thousand".