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31002131331300 = 22352195438970409
BaseRepresentation
bin1110000110010001111110…
…00001100111100011100100
311001202202220211121000212110
413003020333001213203210
513030414331110100200
6145534103231321020
76346554500224143
oct703107701474344
9131682824530773
1031002131331300
119972a25a04778
123588507080170
13143b64714586c
147927228b775a
1538b6836e5b50
hex1c323f0678e4

31002131331300 has 72 divisors (see below), whose sum is σ = 94420526317600. Its totient is φ = 7832117387520.

The previous prime is 31002131331277. The next prime is 31002131331323. The reversal of 31002131331300 is 313313120013.

It is an interprime number because it is at equal distance from previous prime (31002131331277) and next prime (31002131331323).

It is a super-2 number, since 2×310021313313002 (a number of 28 digits) contains 22 as substring.

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, 2719479505 + ... + 2719490904.

Almost surely, 231002131331300 is an apocalyptic number.

31002131331300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31002131331300 is an abundant number, since it is smaller than the sum of its proper divisors (63418394986300).

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

31002131331300 is a wasteful number, since it uses less digits than its factorization.

31002131331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438970445 (or 5438970438 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 31002131331300 its reverse (313313120013), we get a palindrome (31315444451313).

The spelling of 31002131331300 in words is "thirty-one trillion, two billion, one hundred thirty-one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 5438970409 10877940818 16316911227 21755881636 27194852045 32633822454 54389704090 65267644908 81584556135 103340437771 108779408180 135974260225 163169112270 206680875542 271948520450 310021313313 326338224540 407922780675 413361751084 516702188855 543897040900 620042626626 815845561350 1033404377710 1240085253252 1550106566565 1631691122700 2066808755420 2583510944275 3100213133130 5167021888550 6200426266260 7750532832825 10334043777100 15501065665650 31002131331300