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10031372707350 = 23522327911041793
BaseRepresentation
bin1001000111111001110001…
…1010000010011000010110
31022111222201121111220200110
42101332130122002120112
52303323222403113400
633200203215023450
72053512524064351
oct221763432023026
938458647456613
1010031372707350
113218310415435
12116019250ab86
13579c53a34497
142697419c3298
15125e1431ee50
hex91f9c682616

10031372707350 has 96 divisors (see below), whose sum is σ = 25968774034944. Its totient is φ = 2557807718400.

The previous prime is 10031372707303. The next prime is 10031372707409. The reversal of 10031372707350 is 5370727313001.

It is a junction number, because it is equal to n+sod(n) for n = 10031372707299 and 10031372707308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9108054 + ... + 10149846.

It is an arithmetic number, because the mean of its divisors is an integer number (270508062864).

Almost surely, 210031372707350 is an apocalyptic number.

10031372707350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031372707350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12984387017472).

10031372707350 is an abundant number, since it is smaller than the sum of its proper divisors (15937401327594).

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

10031372707350 is a wasteful number, since it uses less digits than its factorization.

10031372707350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044622 (or 1044617 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 39.

The spelling of 10031372707350 in words is "ten trillion, thirty-one billion, three hundred seventy-two million, seven hundred seven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1150 1725 2791 3450 5582 8373 13955 16746 27910 41865 64193 69775 83730 128386 139550 192579 209325 320965 385158 418650 641930 962895 1041793 1604825 1925790 2083586 3125379 3209650 4814475 5208965 6250758 9628950 10417930 15626895 23961239 26044825 31253790 47922478 52089650 71883717 78134475 119806195 143767434 156268950 239612390 359418585 599030975 718837170 1198061950 1797092925 2907644263 3594185850 5815288526 8722932789 14538221315 17445865578 29076442630 43614663945 66875818049 72691106575 87229327890 133751636098 145382213150 200627454147 218073319725 334379090245 401254908294 436146639450 668758180490 1003137270735 1671895451225 2006274541470 3343790902450 5015686353675 10031372707350