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102113046 = 23274347401
BaseRepresentation
bin1100001011000…
…01111100010110
321010010212202200
412011201330112
5202120104141
614044345330
72346642450
oct605417426
9233125680
10102113046
1152705052
122a245246
1318203529
14d7c12d0
158e70ab6
hex6161f16

102113046 has 96 divisors (see below), whose sum is σ = 264895488. Its totient is φ = 27820800.

The previous prime is 102113029. The next prime is 102113047. The reversal of 102113046 is 640311201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 254446 + ... + 254846.

It is an arithmetic number, because the mean of its divisors is an integer number (2759328).

Almost surely, 2102113046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102113046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132447744).

102113046 is an abundant number, since it is smaller than the sum of its proper divisors (162782442).

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

102113046 is a wasteful number, since it uses less digits than its factorization.

102113046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102113046 is about 10105.0999995052. The cubic root of 102113046 is about 467.4054195885.

Adding to 102113046 its reverse (640311201), we get a palindrome (742424247).

The spelling of 102113046 in words is "one hundred two million, one hundred thirteen thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 47 63 86 94 126 129 141 258 282 301 329 387 401 423 602 658 774 802 846 903 987 1203 1806 1974 2021 2406 2709 2807 2961 3609 4042 5418 5614 5922 6063 7218 8421 12126 14147 16842 17243 18189 18847 25263 28294 34486 36378 37694 42441 50526 51729 56541 84882 103458 113082 120701 127323 131929 155187 169623 241402 254646 263858 310374 339246 362103 395787 724206 791574 810421 1086309 1187361 1620842 2172618 2374722 2431263 4862526 5672947 7293789 11345894 14587578 17018841 34037682 51056523 102113046