Search a number
-
+
102213010201032 = 23322361722832247
BaseRepresentation
bin10111001111011001010010…
…001010100001100111001000
3111101220110122102102202101200
4113033121102022201213020
5101344124221102413112
61001220001511344200
730346434451366503
oct2717312212414710
9441813572382350
10102213010201032
112a628326630815
12b569696382060
134505851230393
141b351c960613a
15bc3bdcedacdc
hex5cf6522a19c8

102213010201032 has 48 divisors (see below), whose sum is σ = 288862854920640. Its totient is φ = 32589655425888.

The previous prime is 102213010201021. The next prime is 102213010201037. The reversal of 102213010201032 is 230102010312201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102213010200996 and 102213010201014.

It is not an unprimeable number, because it can be changed into a prime (102213010201037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30861414468 + ... + 30861417779.

It is an arithmetic number, because the mean of its divisors is an integer number (6017976144180).

Almost surely, 2102213010201032 is an apocalyptic number.

102213010201032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102213010201032 is an abundant number, since it is smaller than the sum of its proper divisors (186649844719608).

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

102213010201032 is a wasteful number, since it uses less digits than its factorization.

102213010201032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61722832282 (or 61722832275 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102213010201032 its reverse (230102010312201), we get a palindrome (332315020513233).

The spelling of 102213010201032 in words is "one hundred two trillion, two hundred thirteen billion, ten million, two hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 61722832247 123445664494 185168496741 246891328988 370336993482 493782657976 555505490223 740673986964 1111010980446 1419625141681 1481347973928 2222021960892 2839250283362 4258875425043 4444043921784 5678500566724 8517750850086 11357001133448 12776626275129 17035501700172 25553252550258 34071003400344 51106505100516 102213010201032