Search a number
-
+
10131320041400 = 23521921559123667
BaseRepresentation
bin1001001101101110000110…
…1110110110111110111000
31022212112201010001112211102
42103123201232312332320
52311442420412311100
633314133021150532
72063651361312665
oct223334156667670
938775633045742
1010131320041400
11325673a049858
1211776266bb448
135864c166422c
14270503a54a6c
15128813b04cd5
hex936e1bb6fb8

10131320041400 has 96 divisors (see below), whose sum is σ = 24796423344000. Its totient is φ = 3839027944320.

The previous prime is 10131320041363. The next prime is 10131320041421. The reversal of 10131320041400 is 414002313101.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 81862367 + ... + 81986033.

It is an arithmetic number, because the mean of its divisors is an integer number (258296076500).

Almost surely, 210131320041400 is an apocalyptic number.

10131320041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131320041400 is an abundant number, since it is smaller than the sum of its proper divisors (14665103302600).

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

10131320041400 is a wasteful number, since it uses less digits than its factorization.

10131320041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145261 (or 145252 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10131320041400 its reverse (414002313101), we get a palindrome (10545322354501).

The spelling of 10131320041400 in words is "ten trillion, one hundred thirty-one billion, three hundred twenty million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 21559 43118 86236 107795 123667 172472 215590 247334 409621 431180 494668 538975 618335 819242 862360 989336 1077950 1236670 1638484 2048105 2155900 2349673 2473340 3091675 3276968 4096210 4311800 4699346 4946680 6183350 8192420 9398692 10240525 11748365 12366700 16384840 18797384 20481050 23496730 24733400 40962100 46993460 58741825 81924200 93986920 117483650 234967300 469934600 2666136853 5332273706 10664547412 13330684265 21329094824 26661368530 50656600207 53322737060 66653421325 101313200414 106645474120 133306842650 202626400828 253283001035 266613685300 405252801656 506566002070 533227370600 1013132004140 1266415005175 2026264008280 2532830010350 5065660020700 10131320041400