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2031401111220 = 22325132929935177
BaseRepresentation
bin11101100011111000111…
…100010000111010110100
321012012101211120120121100
4131203320330100322310
5231240302141024340
64153113543450100
7266523004355205
oct35437074207264
97165354516540
102031401111220
1171356aa72478
12289848156930
13119738ca6960
147046b0195ac
1537c94b1a830
hex1d8f8f10eb4

2031401111220 has 144 divisors (see below), whose sum is σ = 6864735018960. Its totient is φ = 482794518528.

The previous prime is 2031401111219. The next prime is 2031401111227. The reversal of 2031401111220 is 221111041302.

2031401111220 is a `hidden beast` number, since 2 + 0 + 31 + 401 + 1 + 11 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 620042855184 + 1411358256036 = 787428^2 + 1188006^2 .

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 = 2031401111193 and 2031401111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031401111227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14899729 + ... + 15035448.

It is an arithmetic number, because the mean of its divisors is an integer number (47671770965).

Almost surely, 22031401111220 is an apocalyptic number.

2031401111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2031401111220 is an abundant number, since it is smaller than the sum of its proper divisors (4833333907740).

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

2031401111220 is a wasteful number, since it uses less digits than its factorization.

2031401111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29935234 (or 29935229 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2031401111220 its reverse (221111041302), we get a palindrome (2252512152522).

The spelling of 2031401111220 in words is "two trillion, thirty-one billion, four hundred one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4524 5220 5655 6786 7540 11310 13572 16965 22620 33930 67860 29935177 59870354 89805531 119740708 149675885 179611062 269416593 299351770 359222124 389157301 449027655 538833186 598703540 778314602 868120133 898055310 1077666372 1167471903 1347082965 1556629204 1736240266 1796110620 1945786505 2334943806 2604360399 2694165930 3472480532 3502415709 3891573010 4340600665 4669887612 5208720798 5388331860 5837359515 7004831418 7783146020 7813081197 8681201330 10417441596 11285561729 11674719030 13021801995 14009662836 15626162394 17362402660 17512078545 22571123458 23349438060 26043603990 31252324788 33856685187 35024157090 39065405985 45142246916 52087207980 56427808645 67713370374 70048314180 78130811970 101570055561 112855617290 135426740748 156261623940 169283425935 203140111122 225711234580 338566851870 406280222244 507850277805 677133703740 1015700555610 2031401111220