Search a number
-
+
31323112302100 = 225217211131116091
BaseRepresentation
bin1110001111100111110101…
…11110110110011000010100
311002220110102112220210211011
413013303322332312120110
513101144213222131400
6150341350015422004
76412006631400553
oct707637276663024
9132813375823734
1031323112302100
119a8706a336963
12361a766b24904
1314629ab955998
147a40922d7d9a
15394bbcce38ba
hex1c7cfafb6614

31323112302100 has 72 divisors (see below), whose sum is σ = 68020888634496. Its totient is φ = 12520079520000.

The previous prime is 31323112302089. The next prime is 31323112302103. The reversal of 31323112302100 is 120321132313.

It is a super-2 number, since 2×313231123021002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31323112302103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1946615055 + ... + 1946631145.

It is an arithmetic number, because the mean of its divisors is an integer number (944734564368).

Almost surely, 231323112302100 is an apocalyptic number.

It is an amenable number.

31323112302100 is an abundant number, since it is smaller than the sum of its proper divisors (36697776332396).

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

31323112302100 is a wasteful number, since it uses less digits than its factorization.

31323112302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29137 (or 29130 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 31323112302100 its reverse (120321132313), we get a palindrome (31443433434413).

The spelling of 31323112302100 in words is "thirty-one trillion, three hundred twenty-three billion, one hundred twelve million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1721 3442 6884 8605 11311 16091 17210 22622 32182 34420 43025 45244 56555 64364 80455 86050 113110 160910 172100 226220 282775 321820 402275 565550 804550 1131100 1609100 19466231 27692611 38932462 55385222 77864924 97331155 110770444 138463055 182005301 194662310 276926110 364010602 389324620 486655775 553852220 692315275 728021204 910026505 973311550 1384630550 1820053010 1946623100 2769261100 3640106020 4550132525 9100265050 18200530100 313231123021 626462246042 1252924492084 1566155615105 3132311230210 6264622460420 7830778075525 15661556151050 31323112302100