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102020211212112 = 243216736711559557
BaseRepresentation
bin10111001100100101101110…
…011100101111111101010000
3111101020000222221010100001100
4113030211232130233331100
5101332444343032241422
61000551234340104400
730326500640130054
oct2714455634577520
9441200887110040
10102020211212112
112a56358a627846
12b53824a395100
1344c0606a6670b
141b29b39a47c64
15bbdba6d397ac
hex5cc96e72ff50

102020211212112 has 120 divisors (see below), whose sum is σ = 288007219858176. Its totient is φ = 33710994448128.

The previous prime is 102020211211981. The next prime is 102020211212113. The reversal of 102020211212112 is 211212112020201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020211212113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3045838 + ... + 14605394.

Almost surely, 2102020211212112 is an apocalyptic number.

102020211212112 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 102020211212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144003609929088).

102020211212112 is an abundant number, since it is smaller than the sum of its proper divisors (185987008646064).

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

102020211212112 is a wasteful number, since it uses less digits than its factorization.

102020211212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11560105 (or 11560096 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102020211212112 its reverse (211212112020201), we get a palindrome (313232323232313).

The spelling of 102020211212112 in words is "one hundred two trillion, twenty billion, two hundred eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 167 334 367 501 668 734 1002 1101 1336 1468 1503 2004 2202 2672 2936 3006 3303 4008 4404 5872 6012 6606 8016 8808 12024 13212 17616 24048 26424 52848 61289 122578 183867 245156 367734 490312 551601 735468 980624 1103202 1470936 2206404 2941872 4412808 8825616 11559557 23119114 34678671 46238228 69357342 92476456 104036013 138714684 184952912 208072026 277429368 416144052 554858736 832288104 1664576208 1930446019 3860892038 4242357419 5791338057 7721784076 8484714838 11582676114 12727072257 15443568152 16969429676 17374014171 23165352228 25454144514 30887136304 33938859352 34748028342 38181216771 46330704456 50908289028 67877718704 69496056684 76362433542 92661408912 101816578056 138992113368 152724867084 203633156112 277984226736 305449734168 610899468336 708473688973 1416947377946 2125421066919 2833894755892 4250842133838 5667789511784 6376263200757 8501684267676 11335579023568 12752526401514 17003368535352 25505052803028 34006737070704 51010105606056 102020211212112