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221012121002022 = 23371135174231423
BaseRepresentation
bin110010010000001001100100…
…111101101010000000100110
31001222112112220201022200122000
4302100021210331222000212
5212432030310434031042
62102015322225150130
764360412251035660
oct6220114475520046
91058475821280560
10221012121002022
116446a794593519
122095576818b346
139642479a8ac9c
143c81088003530
151a8407485e74c
hexc90264f6a026

221012121002022 has 64 divisors (see below), whose sum is σ = 566267887042560. Its totient is φ = 62587503280512.

The previous prime is 221012121001963. The next prime is 221012121002047. The reversal of 221012121002022 is 220200121210122.

It is a happy number.

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 = 221012121001986 and 221012121002004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2587072998 + ... + 2587158425.

It is an arithmetic number, because the mean of its divisors is an integer number (8847935735040).

Almost surely, 2221012121002022 is an apocalyptic number.

221012121002022 is an abundant number, since it is smaller than the sum of its proper divisors (345255766040538).

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

221012121002022 is a wasteful number, since it uses less digits than its factorization.

221012121002022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5174231554 (or 5174231548 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221012121002022 its reverse (220200121210122), we get a palindrome (441212242212144).

The spelling of 221012121002022 in words is "two hundred twenty-one trillion, twelve billion, one hundred twenty-one million, two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 113 126 189 226 339 378 678 791 1017 1582 2034 2373 3051 4746 6102 7119 14238 21357 42714 5174231423 10348462846 15522694269 31045388538 36219619961 46568082807 72439239922 93136165614 108658859883 139704248421 217317719766 279408496842 325976579649 584688150799 651953159298 977929738947 1169376301598 1754064452397 1955859477894 3508128904794 4092817055593 5262193357191 8185634111186 10524386714382 12278451166779 15786580071573 24556902333558 31573160143146 36835353500337 73670707000674 110506060501011 221012121002022