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102101342432 = 2543643115399
BaseRepresentation
bin101111100010110110…
…1101101100011100000
3100202112121200121011012
41133011231231203200
53133100420424212
6114523230040052
710243111043165
oct1370555554340
9322477617135
10102101342432
113a334600841
1217955649028
139821c7a62b
144d2817a06c
1529c8969922
hex17c5b6d8e0

102101342432 has 48 divisors (see below), whose sum is σ = 206008387200. Its totient is φ = 49785466752.

The previous prime is 102101342429. The next prime is 102101342443. The reversal of 102101342432 is 234243101201.

It is a junction number, because it is equal to n+sod(n) for n = 102101342398 and 102101342407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 827069 + ... + 942467.

It is an arithmetic number, because the mean of its divisors is an integer number (4291841400).

Almost surely, 2102101342432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103004193600).

102101342432 is an abundant number, since it is smaller than the sum of its proper divisors (103907044768).

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

102101342432 is a wasteful number, since it uses less digits than its factorization.

102101342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116095 (or 116087 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 102101342432 its reverse (234243101201), we get a palindrome (336344443633).

The spelling of 102101342432 in words is "one hundred two billion, one hundred one million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 86 172 344 643 688 1286 1376 2572 5144 10288 20576 27649 55298 110596 115399 221192 230798 442384 461596 884768 923192 1846384 3692768 4962157 9924314 19848628 39697256 74201557 79394512 148403114 158789024 296806228 593612456 1187224912 2374449824 3190666951 6381333902 12762667804 25525335608 51050671216 102101342432