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220202110101012 = 2231318110217638227
BaseRepresentation
bin110010000100010111001100…
…100011010010011000010100
31001212200010010122220111010220
4302010113030203102120110
5212330242410141213022
62100155241452314340
764245035365010424
oct6204271443223024
91055603118814126
10220202110101012
1164188210549716
12208447891729b0
1395b3c7baa8460
143c53ba62bc484
151a6ce6775985c
hexc845cc8d2614

220202110101012 has 96 divisors (see below), whose sum is σ = 556930456677504. Its totient is φ = 67314158092800.

The previous prime is 220202110101007. The next prime is 220202110101073. The reversal of 220202110101012 is 210101011202022.

It is a super-2 number, since 2×2202021101010122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220202110100982 and 220202110101000.

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, 25009843 + ... + 32648069.

It is an arithmetic number, because the mean of its divisors is an integer number (5801358923724).

Almost surely, 2220202110101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220202110101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278465228338752).

220202110101012 is an abundant number, since it is smaller than the sum of its proper divisors (336728346576492).

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

220202110101012 is a wasteful number, since it uses less digits than its factorization.

220202110101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639449 (or 7639447 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220202110101012 its reverse (210101011202022), we get a palindrome (430303121303034).

The spelling of 220202110101012 in words is "two hundred twenty trillion, two hundred two billion, one hundred ten million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 181 362 543 724 1021 1086 2042 2172 2353 3063 4084 4706 6126 7059 9412 12252 13273 14118 26546 28236 39819 53092 79638 159276 184801 369602 554403 739204 1108806 2217612 2402413 4804826 7207239 7638227 9609652 14414478 15276454 22914681 28828956 30552908 45829362 91658724 99296951 198593902 297890853 397187804 595781706 1191563412 1382519087 2765038174 4147557261 5530076348 7798629767 8295114522 15597259534 16590229044 17972748131 23395889301 31194519068 35945496262 46791778602 53918244393 71890992524 93583557204 101382186971 107836488786 202764373942 215672977572 304146560913 405528747884 608293121826 1216586243652 1411551987827 2823103975654 4234655963481 5646207951308 8469311926962 16938623853924 18350175841751 36700351683502 55050527525253 73400703367004 110101055050506 220202110101012