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2131202112 = 263132929443
BaseRepresentation
bin111111100000111…
…1001000001000000
312111112020021200120
41333001321001000
513331041431422
6551251020240
7103545630144
oct17701710100
95445207616
102131202112
119a400a766
124b589a680
1327c6c4050
1416308d224
15c717c45c
hex7f079040

2131202112 has 112 divisors (see below), whose sum is σ = 6282171840. Its totient is φ = 633120768.

The previous prime is 2131202107. The next prime is 2131202153. The reversal of 2131202112 is 2112021312.

It is a junction number, because it is equal to n+sod(n) for n = 2131202091 and 2131202100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57663 + ... + 87105.

It is an arithmetic number, because the mean of its divisors is an integer number (56090820).

Almost surely, 22131202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141085920).

2131202112 is an abundant number, since it is smaller than the sum of its proper divisors (4150969728).

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

2131202112 is a wasteful number, since it uses less digits than its factorization.

2131202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29500 (or 29490 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2131202112 is about 46164.9446225163. The cubic root of 2131202112 is about 1286.8903550647.

Adding to 2131202112 its reverse (2112021312), we get a palindrome (4243223424).

The spelling of 2131202112 in words is "two billion, one hundred thirty-one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 156 174 192 208 232 312 348 377 416 464 624 696 754 832 928 1131 1248 1392 1508 1856 2262 2496 2784 3016 4524 5568 6032 9048 12064 18096 24128 29443 36192 58886 72384 88329 117772 176658 235544 353316 382759 471088 706632 765518 853847 942176 1148277 1413264 1531036 1707694 1884352 2296554 2561541 2826528 3062072 3415388 4593108 5123082 5653056 6124144 6830776 9186216 10246164 11100011 12248288 13661552 18372432 20492328 22200022 24496576 27323104 33300033 36744864 40984656 44400044 54646208 66600066 73489728 81969312 88800088 133200132 163938624 177600176 266400264 355200352 532800528 710400704 1065601056 2131202112