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106253153006 = 272111337204917
BaseRepresentation
bin110001011110100101…
…1100111001011101110
3101011020222001102120012
41202331023213023232
53220101301344011
6120451221453222
710451023620200
oct1427513471356
9334228042505
10106253153006
1141075153550
1218713b71212
13a034183090
1451dd72a770
152b6d1caa8b
hex18bd2e72ee

106253153006 has 96 divisors (see below), whose sum is σ = 223701603552. Its totient is φ = 37179959040.

The previous prime is 106253152991. The next prime is 106253153023. The reversal of 106253153006 is 600351352601.

It is a super-2 number, since 2×1062531530062 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416060 + ... + 620976.

It is an arithmetic number, because the mean of its divisors is an integer number (2330225037).

Almost surely, 2106253153006 is an apocalyptic number.

106253153006 is an abundant number, since it is smaller than the sum of its proper divisors (117448450546).

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

106253153006 is a wasteful number, since it uses less digits than its factorization.

106253153006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204994 (or 204987 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 106253153006 in words is "one hundred six billion, two hundred fifty-three million, one hundred fifty-three thousand, six".

Divisors: 1 2 7 11 13 14 22 26 37 49 74 77 91 98 143 154 182 259 286 407 481 518 539 637 814 962 1001 1078 1274 1813 2002 2849 3367 3626 5291 5698 6734 7007 10582 14014 19943 23569 37037 39886 47138 74074 204917 259259 409834 518518 1434419 2254087 2663921 2868838 4508174 5327842 7581929 10040933 15163858 15778609 18647447 20081866 29303131 31557218 37294894 53073503 58606262 83401219 98565077 106147006 110450263 130532129 166802438 197130154 205121917 220900526 261064258 371514521 410243834 583808533 689955539 743029042 1084215847 1167617066 1379911078 1435853419 2168431694 2871706838 4086659731 4829688773 7589510929 8173319462 9659377546 15179021858 53126576503 106253153006