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212101002210020 = 225711137727923513
BaseRepresentation
bin110000001110011110011100…
…111001001010101011100100
31000210222122202112012001022012
4300032132130321022223210
5210300030323031210040
62031033504423253352
762450535363052610
oct6016363471125344
91023878675161265
10212101002210020
11616445913164a0
121b9567185aa258
139147066cc0281
143a53a597c8340
15197c3791b5865
hexc0e79ce4aae4

212101002210020 has 48 divisors (see below), whose sum is σ = 555318987608448. Its totient is φ = 66109403285760.

The previous prime is 212101002209947. The next prime is 212101002210049. The reversal of 212101002210020 is 20012200101212.

212101002210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212101002209977 and 212101002210004.

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, 68863960217 + ... + 68863963296.

It is an arithmetic number, because the mean of its divisors is an integer number (11569145575176).

Almost surely, 2212101002210020 is an apocalyptic number.

212101002210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101002210020 is an abundant number, since it is smaller than the sum of its proper divisors (343217985398428).

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

212101002210020 is a wasteful number, since it uses less digits than its factorization.

212101002210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137727923540 (or 137727923538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212101002210020 its reverse (20012200101212), we get a palindrome (232113202311232).

The spelling of 212101002210020 in words is "two hundred twelve trillion, one hundred one billion, two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 137727923513 275455847026 550911694052 688639617565 964095464591 1377279235130 1515007158643 1928190929182 2754558470260 3030014317286 3856381858364 4820477322955 6060028634572 7575035793215 9640954645910 10605050110501 15150071586430 19281909291820 21210100221002 30300143172860 42420200442004 53025250552505 106050501105010 212101002210020