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10112200213311 = 3273138913310483
BaseRepresentation
bin1001001100100110111000…
…0110100000001100111111
31022210201100121201122110100
42103021232012200030333
52311134241223311221
633301251453012143
72062403514412650
oct223115606401477
938721317648410
1010112200213311
113249618439a39
12117398b484053
1358476542cba1
1426d60c607527
1512809529a926
hex9326e1a033f

10112200213311 has 48 divisors (see below), whose sum is σ = 17275943393280. Its totient is φ = 5577624377280.

The previous prime is 10112200213277. The next prime is 10112200213327. The reversal of 10112200213311 is 11331200221101.

10112200213311 is a `hidden beast` number, since 1 + 0 + 112 + 200 + 21 + 331 + 1 = 666.

It is not a de Polignac number, because 10112200213311 - 221 = 10112198116159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112200213361) 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, 5895525 + ... + 7414958.

It is an arithmetic number, because the mean of its divisors is an integer number (359915487360).

Almost surely, 210112200213311 is an apocalyptic number.

10112200213311 is a deficient number, since it is larger than the sum of its proper divisors (7163743179969).

10112200213311 is a wasteful number, since it uses less digits than its factorization.

10112200213311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13310916 (or 13310913 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10112200213311 its reverse (11331200221101), we get a palindrome (21443400434412).

The spelling of 10112200213311 in words is "ten trillion, one hundred twelve billion, two hundred million, two hundred thirteen thousand, three hundred eleven".

Divisors: 1 3 7 9 21 31 63 93 217 279 389 651 1167 1953 2723 3501 8169 12059 24507 36177 84413 108531 253239 759717 13310483 39931449 93173381 119794347 279520143 412624973 838560429 1237874919 2888374811 3713624757 5177777887 8665124433 15533333661 25995373299 36244445209 46600000983 108733335627 160511114497 326200006881 481533343491 1123577801479 1444600030473 3370733404437 10112200213311