Search a number
-
+
102022110212 = 2211194714531787
BaseRepresentation
bin101111100000011111…
…1011101110000000100
3100202100002121011222112
41133000333131300010
53132420130011322
6114511315520152
710241126425361
oct1370077356004
9322302534875
10102022110212
113a2a3904470
1217932bb9058
13980b728869
144d1b833468
1529c1a185e2
hex17c0fddc04

102022110212 has 96 divisors (see below), whose sum is σ = 209644001280. Its totient is φ = 42944584320.

The previous prime is 102022110199. The next prime is 102022110227. The reversal of 102022110212 is 212011220201.

102022110212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 57090383 + ... + 57092169.

It is an arithmetic number, because the mean of its divisors is an integer number (2183791680).

Almost surely, 2102022110212 is an apocalyptic number.

It is an amenable number.

102022110212 is an abundant number, since it is smaller than the sum of its proper divisors (107621891068).

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

102022110212 is a wasteful number, since it uses less digits than its factorization.

102022110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102022110212 its reverse (212011220201), we get a palindrome (314033330413).

The spelling of 102022110212 in words is "one hundred two billion, twenty-two million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 11 19 22 38 44 47 76 94 188 209 418 517 836 893 1034 1453 1786 1787 2068 2906 3572 3574 5812 7148 9823 15983 19646 19657 27607 31966 33953 39292 39314 55214 63932 67906 68291 78628 83989 110428 135812 136582 167978 273164 303677 335956 373483 607354 746966 751201 923879 1214708 1297529 1493932 1502402 1595791 1847758 2595058 2596511 3004804 3191582 3695516 5190116 5193022 6383164 10386044 14272819 17553701 28545638 28561621 35107402 49333709 57091276 57123242 70214804 98667418 114246484 122036017 197334836 244072034 488144068 542670799 1085341598 1342396187 2170683196 2318684323 2684792374 4637368646 5369584748 9274737292 25505527553 51011055106 102022110212