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10123013100132 = 223518160794793
BaseRepresentation
bin1001001101001111001010…
…0110011001001001100100
31022211202021012002012200000
42103103302212121021210
52311323412323201012
633310240434421300
72063235462423222
oct223236246311144
938752235065600
1010123013100132
113253166a96939
121175aa8731830
13585799662a7a
1426dd566cbb12
151284c96c8ddc
hex934f2999264

10123013100132 has 144 divisors (see below), whose sum is σ = 26727309353472. Its totient is φ = 3350131280640.

The previous prime is 10123013100131. The next prime is 10123013100143. The reversal of 10123013100132 is 23100131032101.

10123013100132 is a `hidden beast` number, since 10 + 12 + 301 + 310 + 0 + 1 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10123013100131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106743328 + ... + 106838120.

Almost surely, 210123013100132 is an apocalyptic number.

10123013100132 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 10123013100132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13363654676736).

10123013100132 is an abundant number, since it is smaller than the sum of its proper divisors (16604296253340).

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

10123013100132 is a wasteful number, since it uses less digits than its factorization.

10123013100132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95600 (or 95586 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10123013100132 its reverse (23100131032101), we get a palindrome (33223144132233).

The spelling of 10123013100132 in words is "ten trillion, one hundred twenty-three billion, thirteen million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 243 324 362 486 543 607 724 972 1086 1214 1629 1821 2172 2428 3258 3642 4887 5463 6516 7284 9774 10926 14661 16389 19548 21852 29322 32778 43983 49167 58644 65556 87966 94793 98334 109867 147501 175932 189586 196668 219734 284379 295002 329601 379172 439468 568758 590004 659202 853137 988803 1137516 1318404 1706274 1977606 2559411 2966409 3412548 3955212 5118822 5932818 7678233 8899227 10237644 11865636 15356466 17157533 17798454 23034699 26697681 30712932 34315066 35596908 46069398 51472599 53395362 57539351 68630132 92138796 102945198 106790724 115078702 154417797 172618053 205890396 230157404 308835594 345236106 463253391 517854159 617671188 690472212 926506782 1035708318 1389760173 1553562477 1853013564 2071416636 2779520346 3107124954 4169280519 4660687431 5559040692 6214249908 8338561038 9321374862 10414622531 13982062293 16677122076 18642749724 20829245062 27964124586 31243867593 41658490124 55928249172 62487735186 93731602779 124975470372 187463205558 281194808337 374926411116 562389616674 843584425011 1124779233348 1687168850022 2530753275033 3374337700044 5061506550066 10123013100132