Search a number
-
+
23132105101410 = 2355965322978713
BaseRepresentation
bin1010100001001110111001…
…11010000101000001100010
310000220102000011210020222120
411100213130322011001202
511012444022401221120
6121110424204245110
74605145062065154
oct520473472050142
9100812004706876
1023132105101410
1174092a8305778
1227171a7240796
13cba46ab712a6
1459d858036ad4
152a1abc162140
hex1509dce85062

23132105101410 has 128 divisors (see below), whose sum is σ = 56575587836160. Its totient is φ = 6051392557056.

The previous prime is 23132105101409. The next prime is 23132105101421. The reversal of 23132105101410 is 1410150123132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2654891214 + ... + 2654899926.

It is an arithmetic number, because the mean of its divisors is an integer number (441996779970).

Almost surely, 223132105101410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23132105101410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28287793918080).

23132105101410 is an abundant number, since it is smaller than the sum of its proper divisors (33443482734750).

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

23132105101410 is a wasteful number, since it uses less digits than its factorization.

23132105101410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11732.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 23132105101410 its reverse (1410150123132), we get a palindrome (24542255224542).

The spelling of 23132105101410 in words is "twenty-three trillion, one hundred thirty-two billion, one hundred five million, one hundred one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 653 885 1306 1770 1959 2297 3265 3918 4594 6530 6891 8713 9795 11485 13782 17426 19590 22970 26139 34455 38527 43565 52278 68910 77054 87130 115581 130695 135523 192635 231162 261390 271046 385270 406569 514067 577905 677615 813138 1028134 1155810 1355230 1499941 1542201 2032845 2570335 2999882 3084402 4065690 4499823 5140670 5689589 7499705 7711005 8999646 11379178 14999410 15422010 17068767 20013761 22499115 28447945 34137534 40027522 44998230 56895890 60041283 85343835 88496519 100068805 120082566 170687670 176993038 200137610 265489557 300206415 335685751 442482595 530979114 600412830 671371502 884965190 1007057253 1180811899 1327447785 1678428755 2014114506 2361623798 2654895570 3356857510 3542435697 5035286265 5904059495 7084871394 10070572530 11808118990 13068985933 17712178485 26137971866 35424356970 39206957799 65344929665 78413915598 130689859330 196034788995 392069577990 771070170047 1542140340094 2313210510141 3855350850235 4626421020282 7710701700470 11566052550705 23132105101410