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31113001301220 = 22325374671621817
BaseRepresentation
bin1110001001100000011110…
…11000111111010011100100
311002011101002120000001121200
413010300033120333103210
513034223411313114340
6150101040535442500
76360561114351066
oct704601730772344
9132141076001550
1031113001301220
119a05a4a136093
1235a5aa9226430
131448c35953567
14797c3d43b736
1538e4c1d87330
hex1c4c0f63f4e4

31113001301220 has 72 divisors (see below), whose sum is σ = 96926809479864. Its totient is φ = 8072562498048.

The previous prime is 31113001301209. The next prime is 31113001301267. The reversal of 31113001301220 is 2210310031113.

31113001301220 is a `hidden beast` number, since 3 + 1 + 11 + 300 + 130 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7677565388964 + 23435435912256 = 2770842^2 + 4841016^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 31113001301193 and 31113001301202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2335804249 + ... + 2335817568.

Almost surely, 231113001301220 is an apocalyptic number.

31113001301220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31113001301220 is an abundant number, since it is smaller than the sum of its proper divisors (65813808178644).

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

31113001301220 is a wasteful number, since it uses less digits than its factorization.

31113001301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671621869 (or 4671621864 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31113001301220 its reverse (2210310031113), we get a palindrome (33323311332333).

The spelling of 31113001301220 in words is "thirty-one trillion, one hundred thirteen billion, one million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 4671621817 9343243634 14014865451 18686487268 23358109085 28029730902 42044596353 46716218170 56059461804 70074327255 84089192706 93432436340 140148654510 168178385412 172850007229 210222981765 280297309020 345700014458 420445963530 518550021687 691400028916 840891927060 864250036145 1037100043374 1555650065061 1728500072290 2074200086748 2592750108435 3111300130122 3457000144580 5185500216870 6222600260244 7778250325305 10371000433740 15556500650610 31113001301220