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1102302202122 = 23511463445339
BaseRepresentation
bin10000000010100110010…
…101001100100100001010
310220101020100001202100000
4100002212111030210022
5121030003330431442
62202220213423430
7142432035060042
oct20024625144412
93811210052300
101102302202122
11395535946580
1215977293ab76
137cc3ca41854
143b4cd14a722
151da17b59d4c
hex100a654c90a

1102302202122 has 96 divisors (see below), whose sum is σ = 2707781207040. Its totient is φ = 333308772720.

The previous prime is 1102302202117. The next prime is 1102302202129. The reversal of 1102302202122 is 2212022032011.

1102302202122 is a `hidden beast` number, since 1 + 1 + 0 + 230 + 220 + 212 + 2 = 666.

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 = 1102302202095 and 1102302202104.

It is not an unprimeable number, because it can be changed into a prime (1102302202129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2252529 + ... + 2697867.

It is an arithmetic number, because the mean of its divisors is an integer number (28206054240).

Almost surely, 21102302202122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102302202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353890603520).

1102302202122 is an abundant number, since it is smaller than the sum of its proper divisors (1605479004918).

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

1102302202122 is a wasteful number, since it uses less digits than its factorization.

1102302202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445830 (or 445818 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1102302202122 its reverse (2212022032011), we get a palindrome (3314324234133).

The spelling of 1102302202122 in words is "one trillion, one hundred two billion, three hundred two million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 463 486 594 891 926 1389 1782 2673 2778 4167 5093 5346 8334 10186 12501 15279 25002 30558 37503 45837 75006 91674 112509 137511 225018 275022 412533 445339 825066 890678 1237599 1336017 2475198 2672034 4008051 4898729 8016102 9797458 12024153 14696187 24048306 29392374 36072459 44088561 72144918 88177122 108217377 132265683 206191957 216434754 264531366 396797049 412383914 618575871 793594098 1190391147 1237151742 1855727613 2268111527 2380782294 3711455226 4536223054 5567182839 6804334581 11134365678 13608669162 16701548517 20413003743 33403097034 40826007486 50104645551 61239011229 100209291102 122478022458 183717033687 367434067374 551151101061 1102302202122