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102141267084 = 22332915332441
BaseRepresentation
bin101111100100000011…
…0000000110010001100
3100202122101210222111000
41133020012000302030
53133141131021314
6114531213500300
710244104305453
oct1371006006214
9322571728430
10102141267084
113a35509a81a
1217966aa1690
13982a318a9c
144d2d5adb9a
1529cc204209
hex17c8180c8c

102141267084 has 48 divisors (see below), whose sum is σ = 264827939040. Its totient is φ = 34044871680.

The previous prime is 102141267079. The next prime is 102141267089. The reversal of 102141267084 is 480762141201.

It is a happy number.

102141267084 is a `hidden beast` number, since 102 + 1 + 412 + 67 + 0 + 84 = 666.

102141267084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102141267079) and next prime (102141267089).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102141267089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3132304 + ... + 3164744.

It is an arithmetic number, because the mean of its divisors is an integer number (5517248730).

Almost surely, 2102141267084 is an apocalyptic number.

It is an amenable number.

102141267084 is an abundant number, since it is smaller than the sum of its proper divisors (162686671956).

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

102141267084 is a wasteful number, since it uses less digits than its factorization.

102141267084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61607 (or 61599 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 102141267084 in words is "one hundred two billion, one hundred forty-one million, two hundred sixty-seven thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 29153 32441 58306 64882 87459 97323 116612 129764 174918 194646 262377 291969 349836 389292 524754 583938 787131 875907 1049508 1167876 1574262 1751814 3148524 3503628 945752473 1891504946 2837257419 3783009892 5674514838 8511772257 11349029676 17023544514 25535316771 34047089028 51070633542 102141267084