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13122111041400 = 2335230677130807
BaseRepresentation
bin1011111011110011101011…
…0001000110111101111000
31201110110110110222011011110
42332330322301012331320
53204443040411311100
643524114204000320
72523020100335424
oct276747261067570
951413413864143
1013122111041400
1141aa068654529
12157b1a05300a0
137425433281ba
1433518388db84
1517b509b36250
hexbef3ac46f78

13122111041400 has 96 divisors (see below), whose sum is σ = 40691813235840. Its totient is φ = 3498088191360.

The previous prime is 13122111041381. The next prime is 13122111041441. The reversal of 13122111041400 is 414011122131.

It is a congruent number.

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, 1725204 + ... + 5405603.

It is an arithmetic number, because the mean of its divisors is an integer number (423873054540).

Almost surely, 213122111041400 is an apocalyptic number.

13122111041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122111041400 is an abundant number, since it is smaller than the sum of its proper divisors (27569702194440).

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

13122111041400 is a wasteful number, since it uses less digits than its factorization.

13122111041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7133893 (or 7133884 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 13122111041400 its reverse (414011122131), we get a palindrome (13536122163531).

The spelling of 13122111041400 in words is "thirteen trillion, one hundred twenty-two billion, one hundred eleven million, forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3067 6134 9201 12268 15335 18402 24536 30670 36804 46005 61340 73608 76675 92010 122680 153350 184020 230025 306700 368040 460050 613400 920100 1840200 7130807 14261614 21392421 28523228 35654035 42784842 57046456 71308070 85569684 106962105 142616140 171139368 178270175 213924210 285232280 356540350 427848420 534810525 713080700 855696840 1069621050 1426161400 2139242100 4278484200 21870185069 43740370138 65610555207 87480740276 109350925345 131221110414 174961480552 218701850690 262442220828 328052776035 437403701380 524884441656 546754626725 656105552070 874807402760 1093509253450 1312211104140 1640263880175 2187018506900 2624422208280 3280527760350 4374037013800 6561055520700 13122111041400