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100123130232 = 233217281291103
BaseRepresentation
bin101110100111111001…
…1011011100101111000
3100120102202100000011200
41131033303123211320
53120023010131412
6113555042054200
710143100364526
oct1351763334570
9316382300150
10100123130232
1139509995724
12174a304a360
139598191378
144bbb553316
15290ee5c9dc
hex174fcdb978

100123130232 has 96 divisors (see below), whose sum is σ = 288140561280. Its totient is φ = 31299287040.

The previous prime is 100123130231. The next prime is 100123130269. The reversal of 100123130232 is 232031321001.

100123130232 is a `hidden beast` number, since 100 + 1 + 231 + 302 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123130231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198393 + ... + 489495.

It is an arithmetic number, because the mean of its divisors is an integer number (3001464180).

Almost surely, 2100123130232 is an apocalyptic number.

100123130232 is a gapful number since it is divisible by the number (12) 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 100123130232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144070280640).

100123130232 is an abundant number, since it is smaller than the sum of its proper divisors (188017431048).

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

100123130232 is a wasteful number, since it uses less digits than its factorization.

100123130232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291413 (or 291406 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100123130232 its reverse (232031321001), we get a palindrome (332154451233).

The spelling of 100123130232 in words is "one hundred billion, one hundred twenty-three million, one hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 281 306 408 562 612 843 1124 1224 1686 2248 2529 3372 4777 5058 6744 9554 10116 14331 19108 20232 28662 38216 42993 57324 85986 114648 171972 291103 343944 582206 873309 1164412 1746618 2328824 2619927 3493236 4948751 5239854 6986472 9897502 10479708 14846253 19795004 20959416 29692506 39590008 44538759 59385012 81799943 89077518 118770024 163599886 178155036 245399829 327199772 356310072 490799658 654399544 736199487 981599316 1390599031 1472398974 1963198632 2781198062 2944797948 4171797093 5562396124 5889595896 8343594186 11124792248 12515391279 16687188372 25030782558 33374376744 50061565116 100123130232