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101313231101412 = 2231110710321695003
BaseRepresentation
bin10111000010010011010011…
…001001101001110111100100
3111021201110011021022120111220
4113002103103021221313210
5101234403444130221122
6555250353354500340
730224432212262421
oct2702232311516744
9437643137276456
10101313231101412
112a3107777a9720
12b4432241346b0
13446ba48468775
141b0382d6c2d48
15baa5ca09625c
hex5c24d3269de4

101313231101412 has 96 divisors (see below), whose sum is σ = 260323989778944. Its totient is φ = 30411063513600.

The previous prime is 101313231101389. The next prime is 101313231101431. The reversal of 101313231101412 is 214101132313101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145426303 + ... + 146121305.

It is an arithmetic number, because the mean of its divisors is an integer number (2711708226864).

Almost surely, 2101313231101412 is an apocalyptic number.

101313231101412 is a gapful number since it is divisible by the number (12) 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 101313231101412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130161994889472).

101313231101412 is an abundant number, since it is smaller than the sum of its proper divisors (159010758677532).

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

101313231101412 is a wasteful number, since it uses less digits than its factorization.

101313231101412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705449 (or 705447 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 101313231101412 its reverse (214101132313101), we get a palindrome (315414363414513).

The spelling of 101313231101412 in words is "one hundred one trillion, three hundred thirteen billion, two hundred thirty-one million, one hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2354 3531 4708 7062 10321 14124 20642 30963 41284 61926 113531 123852 227062 340593 454124 681186 695003 1104347 1362372 1390006 2085009 2208694 2780012 3313041 4170018 4417388 6626082 7645033 8340036 12147817 13252164 15290066 22935099 24295634 30580132 36443451 45870198 48591268 72886902 74365321 91740396 145773804 148730642 223095963 297461284 446191926 818018531 892383852 1636037062 2454055593 3272074124 4908111186 7173125963 9816222372 14346251926 21519377889 28692503852 43038755778 78904385593 86077511556 157808771186 236713156779 315617542372 473426313558 767524478041 946852627116 1535048956082 2302573434123 3070097912164 4605146868246 8442769258451 9210293736492 16885538516902 25328307775353 33771077033804 50656615550706 101313231101412