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102022111221212 = 227131674313894029
BaseRepresentation
bin10111001100100111011111…
…101100101101010111011100
3111101020012220100022210112202
4113030213133230231113130
5101333012240433034322
61000552151051551032
730326566011005150
oct2714473754552734
9441205810283482
10102022111221212
112a5643750897a6
12b53869a75b478
1344c084a5a1460
141b29c7a115060
15bbdc68a4a292
hex5cc9dfb2d5dc

102022111221212 has 96 divisors (see below), whose sum is σ = 221568687083520. Its totient is φ = 40025623484160.

The previous prime is 102022111221193. The next prime is 102022111221221. The reversal of 102022111221212 is 212122111220201.

102022111221212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020221112212122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24252614 + ... + 28146642.

It is an arithmetic number, because the mean of its divisors is an integer number (2308007157120).

Almost surely, 2102022111221212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022111221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110784343541760).

102022111221212 is an abundant number, since it is smaller than the sum of its proper divisors (119546575862308).

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

102022111221212 is a wasteful number, since it uses less digits than its factorization.

102022111221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894651 (or 3894649 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102022111221212 its reverse (212122111220201), we get a palindrome (314144222441413).

The spelling of 102022111221212 in words is "one hundred two trillion, twenty-two billion, one hundred eleven million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 167 182 334 364 431 668 862 1169 1724 2171 2338 3017 4342 4676 5603 6034 8684 11206 12068 15197 22412 30394 39221 60788 71977 78442 143954 156884 287908 503839 935701 1007678 1871402 2015356 3742804 3894029 6549907 7788058 13099814 15576116 26199628 27258203 50622377 54516406 101244754 109032812 202489508 354356639 650302843 708713278 1300605686 1417426556 1678326499 2601211372 3356652998 4552119901 6713305996 8453936959 9104239802 11748285493 16907873918 18208479604 21818244487 23496570986 33815747836 43636488974 46993141972 59177558713 87272977948 118355117426 152727711409 236710234852 280280525333 305455422818 560561050666 610910845636 1121122101332 1961963677331 3643646829329 3923927354662 7287293658658 7847854709324 14574587317316 25505527805303 51011055610606 102022111221212