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10120229194350 = 23521112748295057
BaseRepresentation
bin1001001101000100110010…
…1010101000101001101110
31022211111002011200010212110
42103101030222220221232
52311302212133204400
633305100305544450
72063106466545642
oct223211452505156
938744064603773
1010120229194350
113251a68601260
121175450345126
1358544497c242
1426db70a96c22
151283b50bce50
hex9344caa8a6e

10120229194350 has 96 divisors (see below), whose sum is σ = 27595409780736. Its totient is φ = 2434070822400.

The previous prime is 10120229194321. The next prime is 10120229194351. The reversal of 10120229194350 is 5349192202101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10120229194299 and 10120229194308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120229194351) 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, 23937979 + ... + 24357078.

It is an arithmetic number, because the mean of its divisors is an integer number (287452185216).

Almost surely, 210120229194350 is an apocalyptic number.

10120229194350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120229194350 is an abundant number, since it is smaller than the sum of its proper divisors (17475180586386).

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

10120229194350 is a wasteful number, since it uses less digits than its factorization.

10120229194350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48295210 (or 48295205 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 10120229194350 in words is "ten trillion, one hundred twenty billion, two hundred twenty-nine million, one hundred ninety-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 127 150 165 254 275 330 381 550 635 762 825 1270 1397 1650 1905 2794 3175 3810 4191 6350 6985 8382 9525 13970 19050 20955 34925 41910 69850 104775 209550 48295057 96590114 144885171 241475285 289770342 482950570 531245627 724425855 1062491254 1207376425 1448851710 1593736881 2414752850 2656228135 3187473762 3622129275 5312456270 6133472239 7244258550 7968684405 12266944478 13281140675 15937368810 18400416717 26562281350 30667361195 36800833434 39843422025 61334722390 67468194629 79686844050 92002083585 134936389258 153336805975 184004167170 202404583887 306673611950 337340973145 404809167774 460010417925 674681946290 920020835850 1012022919435 1686704865725 2024045838870 3373409731450 5060114597175 10120229194350