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104132224100 = 225267106314621
BaseRepresentation
bin110000011111011000…
…0111010010001100100
3100221210011011002001202
41200332300322101210
53201230322132400
6115500534542032
710344331205042
oct1407660722144
9327704132052
10104132224100
1140186a20243
1218221807918
139a86948068
14507bb93392
152a96dcc4d5
hex183ec3a464

104132224100 has 72 divisors (see below), whose sum is σ = 229571014848. Its totient is φ = 40989801600.

The previous prime is 104132224057. The next prime is 104132224117. The reversal of 104132224100 is 1422231401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7114790 + ... + 7129410.

Almost surely, 2104132224100 is an apocalyptic number.

104132224100 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 104132224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114785507424).

104132224100 is an abundant number, since it is smaller than the sum of its proper divisors (125438790748).

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

104132224100 is a wasteful number, since it uses less digits than its factorization.

104132224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15765 (or 15758 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 104132224100 its reverse (1422231401), we get a palindrome (105554455501).

The spelling of 104132224100 in words is "one hundred four billion, one hundred thirty-two million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1063 1340 1675 2126 3350 4252 5315 6700 10630 14621 21260 26575 29242 53150 58484 71221 73105 106300 142442 146210 284884 292420 356105 365525 712210 731050 979607 1424420 1462100 1780525 1959214 3561050 3918428 4898035 7122100 9796070 15542123 19592140 24490175 31084246 48980350 62168492 77710615 97960700 155421230 310842460 388553075 777106150 1041322241 1554212300 2082644482 4165288964 5206611205 10413222410 20826444820 26033056025 52066112050 104132224100