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42152010102 = 23217919149893
BaseRepresentation
bin100111010000011101…
…001010000101110110
311000210122102222101100
4213100131022011312
51142311403310402
631210411510530
73021365113506
oct472035120566
9130718388340
1042152010102
1116970790094
128204758446
133c89b80717
14207c315a06
15116a8c471c
hex9d074a176

42152010102 has 48 divisors (see below), whose sum is σ = 96807540960. Its totient is φ = 13209682176.

The previous prime is 42152010073. The next prime is 42152010127. The reversal of 42152010102 is 20101025124.

42152010102 is a `hidden beast` number, since 42 + 1 + 520 + 1 + 0 + 102 = 666.

It is a super-2 number, since 2×421520101022 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206268 + ... + 356160.

It is an arithmetic number, because the mean of its divisors is an integer number (2016823770).

Almost surely, 242152010102 is an apocalyptic number.

42152010102 is an abundant number, since it is smaller than the sum of its proper divisors (54655530858).

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

42152010102 is a wasteful number, since it uses less digits than its factorization.

42152010102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150837 (or 150834 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 42152010102 its reverse (20101025124), we get a palindrome (62253035226).

The spelling of 42152010102 in words is "forty-two billion, one hundred fifty-two million, ten thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 919 1838 2757 5514 8271 15623 16542 31246 46869 93738 140607 149893 281214 299786 449679 899358 1349037 2548181 2698074 5096362 7644543 15289086 22933629 45867258 137751667 275503334 413255001 826510002 1239765003 2341778339 2479530006 4683556678 7025335017 14050670034 21076005051 42152010102