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2131223401120 = 255111210922387
BaseRepresentation
bin11111000000110110110…
…100000101001010100000
321112202001121211022102111
4133000312310011022200
5234404221142313440
64311023121525104
7306655463003362
oct37006664051240
97482047738374
102131223401120
1175193505a320
122a50664a3794
13125c86a34898
147521a61ad32
153a6884504ea
hex1f036d052a0

2131223401120 has 48 divisors (see below), whose sum is σ = 5492743951968. Its totient is φ = 774990327040.

The previous prime is 2131223401051. The next prime is 2131223401127. The reversal of 2131223401120 is 211043221312.

It is a super-2 number, since 2×21312234011202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2131223401091 and 2131223401100.

It is not an unprimeable number, because it can be changed into a prime (2131223401127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 605459434 + ... + 605462953.

It is an arithmetic number, because the mean of its divisors is an integer number (114432165666).

Almost surely, 22131223401120 is an apocalyptic number.

2131223401120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131223401120 is an abundant number, since it is smaller than the sum of its proper divisors (3361520550848).

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

2131223401120 is a wasteful number, since it uses less digits than its factorization.

2131223401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210922413 (or 1210922405 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2131223401120 its reverse (211043221312), we get a palindrome (2342266622432).

It can be divided in two parts, 21312 and 23401120, that added together give a palindrome (23422432).

The spelling of 2131223401120 in words is "two trillion, one hundred thirty-one billion, two hundred twenty-three million, four hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 1210922387 2421844774 4843689548 6054611935 9687379096 12109223870 13320146257 19374758192 24218447740 26640292514 38749516384 48436895480 53280585028 66600731285 96873790960 106561170056 133201462570 193747581920 213122340112 266402925140 426244680224 532805850280 1065611700560 2131223401120