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31031331100 = 225271129138967
BaseRepresentation
bin11100111001100111…
…001000100100011100
32222002121220221200021
4130321213020210130
51002023010043400
622131113041524
72145661651030
oct347147104434
988077827607
1031031331100
1112184417390
1260203b62a4
132c06c520a3
1417053d01c0
15c1944871a
hex7399c891c

31031331100 has 144 divisors (see below), whose sum is σ = 86849441280. Its totient is φ = 9338515200.

The previous prime is 31031330999. The next prime is 31031331101. The reversal of 31031331100 is 113313013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31031331101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153817 + ... + 292783.

It is an arithmetic number, because the mean of its divisors is an integer number (603121120).

Almost surely, 231031331100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31031331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43424720640).

31031331100 is an abundant number, since it is smaller than the sum of its proper divisors (55818110180).

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

31031331100 is a wasteful number, since it uses less digits than its factorization.

31031331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139028 (or 139021 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 31031331100 its reverse (113313013), we get a palindrome (31144644113).

The spelling of 31031331100 in words is "thirty-one billion, thirty-one million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 29 35 44 50 55 58 70 77 100 110 116 140 145 154 175 203 220 275 290 308 319 350 385 406 550 580 638 700 725 770 812 1015 1100 1276 1450 1540 1595 1925 2030 2233 2900 3190 3850 4060 4466 5075 6380 7700 7975 8932 10150 11165 15950 20300 22330 31900 44660 55825 111650 138967 223300 277934 555868 694835 972769 1389670 1528637 1945538 2779340 3057274 3474175 3891076 4030043 4863845 6114548 6948350 7643185 8060086 9727690 10700459 13896700 15286370 16120172 19455380 20150215 21400918 24319225 28210301 30572740 38215925 40300430 42801836 44330473 48638450 53502295 56420602 76431850 80600860 88660946 97276900 100751075 107004590 112841204 141051505 152863700 177321892 201502150 214009180 221652365 267511475 282103010 310313311 403004300 443304730 535022950 564206020 620626622 705257525 886609460 1070045900 1108261825 1241253244 1410515050 1551566555 2216523650 2821030100 3103133110 4433047300 6206266220 7757832775 15515665550 31031331100