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2131121202320 = 245112220157149
BaseRepresentation
bin11111000000110000101…
…110001110010010010000
321112201210111112002000202
4133000300232032102100
5234404014011433240
64311005031234332
7306653112222605
oct37006056162220
97481714462022
102131121202320
117518923a6900
122a50382189a8
13125c6b801316
147520ac166ac
153a67e4b4315
hex1f030b8e490

2131121202320 has 60 divisors (see below), whose sum is σ = 5446247576700. Its totient is φ = 774953160960.

The previous prime is 2131121202277. The next prime is 2131121202323. The reversal of 2131121202320 is 232021211312.

It can be written as a sum of positive squares in 2 ways, for example, as 1084772242576 + 1046348959744 = 1041524^2 + 1022912^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2131121202292 and 2131121202301.

It is not an unprimeable number, because it can be changed into a prime (2131121202323) 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 11 ways as a sum of consecutive naturals, for example, 110068895 + ... + 110088254.

It is an arithmetic number, because the mean of its divisors is an integer number (90770792945).

Almost surely, 22131121202320 is an apocalyptic number.

2131121202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131121202320 is an abundant number, since it is smaller than the sum of its proper divisors (3315126374380).

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

2131121202320 is a wasteful number, since it uses less digits than its factorization.

2131121202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220157184 (or 220157167 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2131121202320 its reverse (232021211312), we get a palindrome (2363142413632).

The spelling of 2131121202320 in words is "two trillion, one hundred thirty-one billion, one hundred twenty-one million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 220157149 440314298 880628596 1100785745 1761257192 2201571490 2421728639 3522514384 4403142980 4843457278 8806285960 9686914556 12108643195 17612571920 19373829112 24217286390 26639015029 38747658224 48434572780 53278030058 96869145560 106556060116 133195075145 193738291120 213112120232 266390150290 426224240464 532780300580 1065560601160 2131121202320