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202112102020212 = 2234623802784013
BaseRepresentation
bin101101111101000111100100…
…000010111011010001110100
3222111121201122220012120120000
4231331013210002323101310
5202442401041104121322
61553505003505511300
760400055205263046
oct5575074402732164
9874551586176500
10202112102020212
11594432965a212a
121a80281a042530
1388a1121667697
1437ca3c690ba96
1518575ed97a3ac
hexb7d1e40bb474

202112102020212 has 30 divisors (see below), whose sum is σ = 528360958059858. Its totient is φ = 67370700673296.

The previous prime is 202112102020109. The next prime is 202112102020219. The reversal of 202112102020212 is 212020201211202.

It is a happy number.

202112102020212 is a `hidden beast` number, since 20 + 21 + 1 + 210 + 202 + 0 + 212 = 666.

It can be written as a sum of positive squares in only one way, i.e., 199028158614756 + 3083943405456 = 14107734^2 + 1756116^2 .

It is a super-2 number, since 2×2021121020202122 (a number of 29 digits) contains 22 as substring.

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 (202112102020219) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 311901391683 + ... + 311901392330.

Almost surely, 2202112102020212 is an apocalyptic number.

It is an amenable number.

202112102020212 is an abundant number, since it is smaller than the sum of its proper divisors (326248856039646).

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

202112102020212 is a wasteful number, since it uses less digits than its factorization.

202112102020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623802784029 (or 623802784018 counting only the distinct ones).

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

Adding to 202112102020212 its reverse (212020201211202), we get a palindrome (414132303231414).

The spelling of 202112102020212 in words is "two hundred two trillion, one hundred twelve billion, one hundred two million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 623802784013 1247605568026 1871408352039 2495211136052 3742816704078 5614225056117 7485633408156 11228450112234 16842675168351 22456900224468 33685350336702 50528025505053 67370700673404 101056051010106 202112102020212