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123031000100 = 225241244712263
BaseRepresentation
bin111001010010100111…
…0000001010000100100
3102202120020112100222102
41302211032001100210
54003431414000400
6132304125151232
711613552150251
oct1624516012044
9382506470872
10123031000100
11481a4879388
121ba169bb518
13b7a9133b58
145d51adc428
15330111e9d5
hex1ca5381424

123031000100 has 72 divisors (see below), whose sum is σ = 273622987008. Its totient is φ = 47988563200.

The previous prime is 123031000063. The next prime is 123031000133. The reversal of 123031000100 is 1000130321.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10026569 + ... + 10038831.

It is an arithmetic number, because the mean of its divisors is an integer number (3800319264).

Almost surely, 2123031000100 is an apocalyptic number.

123031000100 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 123031000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136811493504).

123031000100 is an abundant number, since it is smaller than the sum of its proper divisors (150591986908).

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

123031000100 is a wasteful number, since it uses less digits than its factorization.

123031000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14765 (or 14758 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 123031000100 its reverse (1000130321), we get a palindrome (124031130421).

The spelling of 123031000100 in words is "one hundred twenty-three billion, thirty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 2447 4100 4894 9788 12235 12263 24470 24526 48940 49052 61175 61315 100327 122350 122630 200654 244700 245260 306575 401308 501635 502783 613150 1003270 1005566 1226300 2006540 2011132 2508175 2513915 5016350 5027830 10032700 10055660 12569575 25139150 30007561 50278300 60015122 120030244 150037805 300075610 600151220 750189025 1230310001 1500378050 2460620002 3000756100 4921240004 6151550005 12303100010 24606200020 30757750025 61515500050 123031000100