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102202022112 = 2538313019859
BaseRepresentation
bin101111100101110110…
…1110001100011100000
3100202210122010122201020
41133023231301203200
53133302204201422
6114541224005440
710245442566021
oct1371355614340
9322718118636
10102202022112
113a386416993
1217983300880
139839a9b5c8
144d376a6c48
1529d270595c
hex17cbb718e0

102202022112 has 96 divisors (see below), whose sum is σ = 271748856960. Its totient is φ = 33627609600.

The previous prime is 102202022107. The next prime is 102202022119. The reversal of 102202022112 is 211220202201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 102202022091 and 102202022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202022119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10361439 + ... + 10371297.

It is an arithmetic number, because the mean of its divisors is an integer number (2830717260).

Almost surely, 2102202022112 is an apocalyptic number.

102202022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135874428480).

102202022112 is an abundant number, since it is smaller than the sum of its proper divisors (169546834848).

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

102202022112 is a wasteful number, since it uses less digits than its factorization.

102202022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256 (or 11248 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102202022112 its reverse (211220202201), we get a palindrome (313422224313).

The spelling of 102202022112 in words is "one hundred two billion, two hundred two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1301 1328 1992 2602 2656 3903 3984 5204 7806 7968 9859 10408 15612 19718 20816 29577 31224 39436 41632 59154 62448 78872 107983 118308 124896 157744 215966 236616 315488 323949 431932 473232 647898 818297 863864 946464 1295796 1636594 1727728 2454891 2591592 3273188 3455456 4909782 5183184 6546376 9819564 10366368 12826559 13092752 19639128 25653118 26185504 38479677 39278256 51306236 76959354 78556512 102612472 153918708 205224944 307837416 410449888 615674832 1064604397 1231349664 2129208794 3193813191 4258417588 6387626382 8516835176 12775252764 17033670352 25550505528 34067340704 51101011056 102202022112