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102122323314 = 231131127393017
BaseRepresentation
bin101111100011011110…
…1101111110101110010
3100202121002011112111220
41133012331233311302
53133121303321224
6114525255445510
710243454266014
oct1370675576562
9322532145456
10102122323314
113a345431010
1217960686896
13982641535b
144d2ac7c1b4
1529ca711279
hex17c6f6fd72

102122323314 has 64 divisors (see below), whose sum is σ = 231811448832. Its totient is φ = 29712009600.

The previous prime is 102122323291. The next prime is 102122323319. The reversal of 102122323314 is 413323221201.

It is not an unprimeable number, because it can be changed into a prime (102122323319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63334 + ... + 456350.

It is an arithmetic number, because the mean of its divisors is an integer number (3622053888).

Almost surely, 2102122323314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122323314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115905724416).

102122323314 is an abundant number, since it is smaller than the sum of its proper divisors (129689125518).

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

102122323314 is a wasteful number, since it uses less digits than its factorization.

102122323314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393191.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102122323314 its reverse (413323221201), we get a palindrome (515445544515).

The spelling of 102122323314 in words is "one hundred two billion, one hundred twenty-two million, three hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 127 186 254 341 381 682 762 1023 1397 2046 2794 3937 4191 7874 8382 11811 23622 43307 86614 129921 259842 393017 786034 1179051 2358102 4323187 8646374 12183527 12969561 24367054 25939122 36550581 49913159 73101162 99826318 134018797 149739477 268037594 299478954 402056391 549044749 804112782 1098089498 1547307929 1647134247 3094615858 3294268494 4641923787 9283847574 17020387219 34040774438 51061161657 102122323314