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1052101110456 = 2332113893414937
BaseRepresentation
bin11110100111101100001…
…11001110101010111000
310201120122201212001210200
433103312013032222320
5114214200341013311
62123154550042200
7136004021612154
oct17236607165270
93646581761720
101052101110456
11376214715370
1214baa2649360
137829c424996
1438cc9c32064
151c57a7e2556
hexf4f61ceab8

1052101110456 has 96 divisors (see below), whose sum is σ = 3116472418800. Its totient is φ = 317998840320.

The previous prime is 1052101110433. The next prime is 1052101110461. The reversal of 1052101110456 is 6540111012501.

1052101110456 is a `hidden beast` number, since 105 + 2 + 101 + 1 + 1 + 0 + 456 = 666.

It is a super-2 number, since 2×10521011104562 (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1399381 + ... + 2015556.

Almost surely, 21052101110456 is an apocalyptic number.

It is an amenable number.

1052101110456 is an abundant number, since it is smaller than the sum of its proper divisors (2064371308344).

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

1052101110456 is a wasteful number, since it uses less digits than its factorization.

1052101110456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415349 (or 3415342 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 1052101110456 its reverse (6540111012501), we get a palindrome (7592212122957).

The spelling of 1052101110456 in words is "one trillion, fifty-two billion, one hundred one million, one hundred ten thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 389 396 778 792 1167 1556 2334 3112 3501 4279 4668 7002 8558 9336 12837 14004 17116 25674 28008 34232 38511 51348 77022 102696 154044 308088 3414937 6829874 10244811 13659748 20489622 27319496 30734433 37564307 40979244 61468866 75128614 81958488 112692921 122937732 150257228 225385842 245875464 300514456 338078763 450771684 676157526 901543368 1328410493 1352315052 2656820986 2704630104 3985231479 5313641972 7970462958 10627283944 11955694437 14612515423 15940925916 23911388874 29225030846 31881851832 43837546269 47822777748 58450061692 87675092538 95645555496 116900123384 131512638807 175350185076 263025277614 350700370152 526050555228 1052101110456