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103751131020 = 223523369120369
BaseRepresentation
bin110000010100000001…
…1001001111110001100
3100220210121001112122020
41200220003021332030
53144440242143040
6115355042450140
710332023030355
oct1405003117614
9326717045566
10103751131020
1140000899389
1218136063950
139a259c64b4
145043310d2c
152a73700cd0
hex18280c9f8c

103751131020 has 96 divisors (see below), whose sum is σ = 303230753280. Its totient is φ = 26455587840.

The previous prime is 103751131007. The next prime is 103751131027. The reversal of 103751131020 is 20131157301.

It is a happy number.

103751131020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (103751131027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5083396 + ... + 5103764.

It is an arithmetic number, because the mean of its divisors is an integer number (3158653680).

Almost surely, 2103751131020 is an apocalyptic number.

103751131020 is a gapful number since it is divisible by the number (10) 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 103751131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151615376640).

103751131020 is an abundant number, since it is smaller than the sum of its proper divisors (199479622260).

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

103751131020 is a wasteful number, since it uses less digits than its factorization.

103751131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24095 (or 24093 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

Adding to 103751131020 its reverse (20131157301), we get a palindrome (123882288321).

The spelling of 103751131020 in words is "one hundred three billion, seven hundred fifty-one million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 3691 7382 11073 14764 18455 20369 22146 36910 40738 44292 55365 61107 73820 81476 84893 101845 110730 122214 169786 203690 221460 244428 254679 305535 339572 407380 424465 468487 509358 611070 848930 936974 1018716 1222140 1273395 1405461 1697860 1873948 2342435 2546790 2810922 4684870 5093580 5621844 7027305 9369740 14054610 28109220 75181979 150363958 225545937 300727916 375909895 451091874 751819790 902183748 1127729685 1503639580 1729185517 2255459370 3458371034 4510918740 5187556551 6916742068 8645927585 10375113102 17291855170 20750226204 25937782755 34583710340 51875565510 103751131020