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31300131220200 = 23325243140345619
BaseRepresentation
bin1110001110111101000010…
…01100111110101011101000
311002211021002221221212222200
413013132201030332223220
513100310132043021300
6150323025355220200
76410234300413023
oct707364114765350
9132737087855880
1031300131220200
119a78347098997
123616212747660
13146078878b67b
147a2d121321ba
153942c54be200
hex1c77a133eae8

31300131220200 has 144 divisors (see below), whose sum is σ = 105360165892800. Its totient is φ = 8327335555200.

The previous prime is 31300131220187. The next prime is 31300131220213. The reversal of 31300131220200 is 202213100313.

31300131220200 is a `hidden beast` number, since 3 + 130 + 0 + 1 + 312 + 20 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (31300131220187) and next prime (31300131220213).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19397010 + ... + 20948609.

It is an arithmetic number, because the mean of its divisors is an integer number (731667818700).

Almost surely, 231300131220200 is an apocalyptic number.

31300131220200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31300131220200 is an abundant number, since it is smaller than the sum of its proper divisors (74060034672600).

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

31300131220200 is a wasteful number, since it uses less digits than its factorization.

31300131220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40346072 (or 40346060 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31300131220200 its reverse (202213100313), we get a palindrome (31502344320513).

The spelling of 31300131220200 in words is "thirty-one trillion, three hundred billion, one hundred thirty-one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 431 450 600 862 900 1293 1724 1800 2155 2586 3448 3879 4310 5172 6465 7758 8620 10344 10775 12930 15516 17240 19395 21550 25860 31032 32325 38790 43100 51720 64650 77580 86200 96975 129300 155160 193950 258600 387900 775800 40345619 80691238 121036857 161382476 201728095 242073714 322764952 363110571 403456190 484147428 605184285 726221142 806912380 968294856 1008640475 1210368570 1452442284 1613824760 1815552855 2017280950 2420737140 2904884568 3025921425 3631105710 4034561900 4841474280 6051842850 7262211420 8069123800 9077764275 12103685700 14524422840 17388961789 18155528550 24207371400 34777923578 36311057100 52166885367 69555847156 72622114200 86944808945 104333770734 139111694312 156500656101 173889617890 208667541468 260834426835 313001312202 347779235780 417335082936 434724044725 521668853670 626002624404 695558471560 782503280505 869448089450 1043337707340 1252005248808 1304172134175 1565006561010 1738896178900 2086675414680 2608344268350 3130013122020 3477792357800 3912516402525 5216688536700 6260026244040 7825032805050 10433377073400 15650065610100 31300131220200