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202110010212 = 223118335352259
BaseRepresentation
bin1011110000111010110…
…0100000001101100100
3201022200101122022100210
42330032230200031210
511302410130311322
6232503102535420
720413321512165
oct2741654401544
9638611568323
10202110010212
11787949170a0
1233206297570
131609c503426
149ad441576c
1553cd81770c
hex2f0eb20364

202110010212 has 96 divisors (see below), whose sum is σ = 522145128960. Its totient is φ = 60334996480.

The previous prime is 202110010211. The next prime is 202110010231. The reversal of 202110010212 is 212010011202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (202110010211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3841339 + ... + 3893597.

It is an arithmetic number, because the mean of its divisors is an integer number (5439011760).

Almost surely, 2202110010212 is an apocalyptic number.

202110010212 is a gapful number since it is divisible by the number (22) 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 202110010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261072564480).

202110010212 is an abundant number, since it is smaller than the sum of its proper divisors (320035118748).

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

202110010212 is a wasteful number, since it uses less digits than its factorization.

202110010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52713 (or 52711 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202110010212 its reverse (212010011202), we get a palindrome (414120021414).

The spelling of 202110010212 in words is "two hundred two billion, one hundred ten million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 353 498 706 913 996 1059 1412 1826 2118 2739 3652 3883 4236 5478 7766 10956 11649 15532 23298 29299 46596 52259 58598 87897 104518 117196 156777 175794 209036 313554 322289 351588 574849 627108 644578 966867 1149698 1289156 1724547 1933734 2299396 3449094 3867468 4337497 6898188 8674994 13012491 17349988 18447427 26024982 36894854 47712467 52049964 55342281 73789708 95424934 110684562 143137401 190849868 202921697 221369124 286274802 405843394 572549604 608765091 811686788 1217530182 1531136441 2435060364 3062272882 4593409323 6124545764 9186818646 16842500851 18373637292 33685001702 50527502553 67370003404 101055005106 202110010212