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103102124334 = 231123214919819
BaseRepresentation
bin110000000000101011…
…1011001000100101110
3100212010100211120211120
41200001113121010232
53142123120434314
6115210420201410
710306652411526
oct1400127310456
9325110746746
10103102124334
113a7a8509020
1217b94839266
1399513cc681
144dc104c686
152a367528a9
hex18015d912e

103102124334 has 96 divisors (see below), whose sum is σ = 236745936000. Its totient is φ = 29682607680.

The previous prime is 103102124269. The next prime is 103102124371. The reversal of 103102124334 is 433421201301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5192277 + ... + 5212095.

It is an arithmetic number, because the mean of its divisors is an integer number (2466103500).

Almost surely, 2103102124334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103102124334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118372968000).

103102124334 is an abundant number, since it is smaller than the sum of its proper divisors (133643811666).

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

103102124334 is a wasteful number, since it uses less digits than its factorization.

103102124334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20030 (or 20007 counting only the distinct ones).

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

Adding to 103102124334 its reverse (433421201301), we get a palindrome (536523325635).

The spelling of 103102124334 in words is "one hundred three billion, one hundred two million, one hundred twenty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 149 253 298 447 506 529 759 894 1058 1518 1587 1639 3174 3278 3427 4917 5819 6854 9834 10281 11638 17457 19819 20562 34914 37697 39638 59457 75394 78821 113091 118914 157642 218009 226182 236463 436018 455837 472926 654027 867031 911674 1308054 1367511 1734062 2601093 2735022 2953031 5014207 5202186 5906062 8859093 10028414 10484251 15042621 17718186 20968502 30085242 31452753 32483341 62905506 64966682 67919713 97450023 115326761 135839426 194900046 203759139 230653522 345980283 407518278 691960566 747116843 1494233686 1562153399 2241350529 3124306798 4482701058 4686460197 9372920394 17183687389 34367374778 51551062167 103102124334