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10123030132131 = 373141994139439
BaseRepresentation
bin1001001101001111001110…
…0111010111010110100011
31022211202022101010112011210
42103103303213113112203
52311323431203212011
633310242243441203
72063236060251210
oct223236347272643
938752271115153
1010123030132131
11325317566a274
121175ab2386203
135857a0047287
1426dd58a82b07
151284cae406a6
hex934f39d75a3

10123030132131 has 64 divisors (see below), whose sum is σ = 15978538598400. Its totient is φ = 5578552425600.

The previous prime is 10123030132063. The next prime is 10123030132139. The reversal of 10123030132131 is 13123103032101.

It is a happy number.

It is not a de Polignac number, because 10123030132131 - 210 = 10123030131107 is a prime.

It is a super-2 number, since 2×101230301321312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10123030132098 and 10123030132107.

It is not an unprimeable number, because it can be changed into a prime (10123030132139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256655910 + ... + 256695348.

It is an arithmetic number, because the mean of its divisors is an integer number (249664665600).

Almost surely, 210123030132131 is an apocalyptic number.

10123030132131 is a deficient number, since it is larger than the sum of its proper divisors (5855508466269).

10123030132131 is a wasteful number, since it uses less digits than its factorization.

10123030132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40840.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10123030132131 its reverse (13123103032101), we get a palindrome (23246133164232).

The spelling of 10123030132131 in words is "ten trillion, one hundred twenty-three billion, thirty million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 31 93 217 419 651 941 1257 2823 2933 6587 8799 12989 19761 29171 38967 39439 87513 90923 118317 204197 272769 276073 394279 612591 828219 1182837 1222609 2759953 3667827 8279859 8558263 12222649 16524941 25674789 36667947 37112099 49574823 85558543 111336297 115674587 256675629 259784693 347023761 512273171 779354079 1150475069 1536819513 3451425207 3585912197 8053325483 10757736591 15549969481 24159976449 46649908443 108849786367 326549359101 482049053911 1446147161733 3374343377377 10123030132131