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2131231211120 = 2451110123978749
BaseRepresentation
bin11111000000110111010…
…001110111111001110000
321112202002011112002201202
4133000313101313321300
5234404230142223440
64311024001150332
7306655616252144
oct37006721677160
97482064462652
102131231211120
11751939504070
122a506902b3a8
13125c8853a69b
147521b691224
153a688e94615
hex1f037477e70

2131231211120 has 80 divisors (see below), whose sum is σ = 5459098140000. Its totient is φ = 767319936000.

The previous prime is 2131231211107. The next prime is 2131231211143. The reversal of 2131231211120 is 211121321312.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2131231211092 and 2131231211101.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11900495 + ... + 12078254.

It is an arithmetic number, because the mean of its divisors is an integer number (68238726750).

Almost surely, 22131231211120 is an apocalyptic number.

2131231211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131231211120 is an abundant number, since it is smaller than the sum of its proper divisors (3327866928880).

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

2131231211120 is a wasteful number, since it uses less digits than its factorization.

2131231211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23978874 (or 23978868 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2131231211120 its reverse (211121321312), we get a palindrome (2342352532432).

The spelling of 2131231211120 in words is "two trillion, one hundred thirty-one billion, two hundred thirty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 23978749 47957498 95914996 119893745 191829992 239787490 263766239 383659984 479574980 527532478 959149960 1055064956 1318831195 1918299920 2110129912 2421853649 2637662390 4220259824 4843707298 5275324780 9687414596 10550649560 12109268245 19374829192 21101299120 24218536490 26640390139 38749658384 48437072980 53280780278 96874145960 106561560556 133201950695 193748291920 213123121112 266403901390 426246242224 532807802780 1065615605560 2131231211120