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1106256440233 = 71737715776133
BaseRepresentation
bin10000000110010010000…
…001011010101110101001
310220202102220122212021101
4100012102001122232221
5121111103122041413
62204112430441401
7142632031410040
oct20062201325651
93822386585241
101106256440233
11397184a1415a
1215a497063261
138042002cc09
143b78638b557
151db99d90edd
hex1019205aba9

1106256440233 has 64 divisors (see below), whose sum is σ = 1396851360768. Its totient is φ = 854469181440.

The previous prime is 1106256440221. The next prime is 1106256440239. The reversal of 1106256440233 is 3320446526011.

It is not a de Polignac number, because 1106256440233 - 229 = 1105719569321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 1106256440192 and 1106256440201.

It is not an unprimeable number, because it can be changed into a prime (1106256440239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180374635 + ... + 180380767.

It is an arithmetic number, because the mean of its divisors is an integer number (21825802512).

Almost surely, 21106256440233 is an apocalyptic number.

It is an amenable number.

1106256440233 is a deficient number, since it is larger than the sum of its proper divisors (290594920535).

1106256440233 is a wasteful number, since it uses less digits than its factorization.

1106256440233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6842.

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 1106256440233 in words is "one trillion, one hundred six billion, two hundred fifty-six million, four hundred forty thousand, two hundred thirty-three".

Divisors: 1 7 17 37 71 119 259 497 577 629 1207 2627 4039 4403 6133 8449 9809 18389 21349 40967 42931 44659 68663 104261 149443 226921 286769 312613 362933 435443 696439 729827 1515779 1588447 2540531 3048101 3538741 3857657 4875073 7402531 10610453 16111391 24771187 25768243 27003599 51817717 60158597 112779737 130933417 180377701 251250611 273893647 421110179 916533919 1758754277 1917255529 2225868089 4271260387 9296272607 15581076623 29898822709 65073908249 158036634319 1106256440233