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108100701024 = 25341153117939
BaseRepresentation
bin110010010101101001…
…1011100101101100000
3101100000201112120222120
41210223103130231200
53232342234413044
6121354421104240
710544556540441
oct1445323345540
9340021476876
10108100701024
1141933033738
1218b4a858080
13a269b80464
145336c5d2c8
152c2a4c7519
hex192b4dcb60

108100701024 has 96 divisors (see below), whose sum is σ = 290891502720. Its totient is φ = 35129779200.

The previous prime is 108100701011. The next prime is 108100701047. The reversal of 108100701024 is 420107001801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 108100700985 and 108100701003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6017047 + ... + 6034985.

It is an arithmetic number, because the mean of its divisors is an integer number (3030119820).

Almost surely, 2108100701024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108100701024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145445751360).

108100701024 is an abundant number, since it is smaller than the sum of its proper divisors (182790801696).

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

108100701024 is a wasteful number, since it uses less digits than its factorization.

108100701024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19524 (or 19516 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

Adding to 108100701024 its reverse (420107001801), we get a palindrome (528207702825).

The spelling of 108100701024 in words is "one hundred eight billion, one hundred million, seven hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1531 1968 3062 3936 4593 6124 9186 12248 17939 18372 24496 35878 36744 48992 53817 62771 71756 73488 107634 125542 143512 146976 188313 215268 251084 287024 376626 430536 502168 574048 735499 753252 861072 1004336 1470998 1506504 1722144 2008672 2206497 2941996 3013008 4412994 5883992 6026016 8825988 11767984 17651976 23535968 27464609 35303952 54929218 70607904 82393827 109858436 164787654 219716872 329575308 439433744 659150616 878867488 1126048969 1318301232 2252097938 2636602464 3378146907 4504195876 6756293814 9008391752 13512587628 18016783504 27025175256 36033567008 54050350512 108100701024