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212101110012020 = 225171462142666493
BaseRepresentation
bin110000001110011110100011…
…010100011001100001110100
31000210222200001001000221211212
4300032132203110121201310
5210300031033130341040
62031033523234020552
762450541142261265
oct6016364324314164
91023880031027755
10212101110012020
1161644637156759
121b956748717758
139147083436038
143a53a69c4a96c
15197c3838abd65
hexc0e7a3519874

212101110012020 has 48 divisors (see below), whose sum is σ = 471645323302608. Its totient is φ = 79844366469120.

The previous prime is 212101110012017. The next prime is 212101110012079. The reversal of 212101110012020 is 20210011101212.

It can be written as a sum of positive squares in 8 ways, for example, as 193871134864 + 211907238877156 = 440308^2 + 14557034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212101110011986 and 212101110012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16362107 + ... + 26304386.

It is an arithmetic number, because the mean of its divisors is an integer number (9825944235471).

Almost surely, 2212101110012020 is an apocalyptic number.

212101110012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101110012020 is an abundant number, since it is smaller than the sum of its proper divisors (259544213290588).

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

212101110012020 is a wasteful number, since it uses less digits than its factorization.

212101110012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42681140 (or 42681138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212101110012020 its reverse (20210011101212), we get a palindrome (232311121113232).

The spelling of 212101110012020 in words is "two hundred twelve trillion, one hundred one billion, one hundred ten million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 14621 29242 58484 73105 146210 248557 292420 497114 994228 1242785 2485570 4971140 42666493 85332986 170665972 213332465 426664930 725330381 853329860 1450660762 2901321524 3626651905 7253303810 14506607620 623826794153 1247653588306 2495307176612 3119133970765 6238267941530 10605055500601 12476535883060 21210111001202 42420222002404 53025277503005 106050555006010 212101110012020