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212221010000020 = 225761103241264421
BaseRepresentation
bin110000010000001110001101…
…111010100011100010010100
31000211102010112002000102200011
4300100032031322203202110
5210304012112030000040
62031204552554530004
762462314315331440
oct6020161572434224
91024363462012604
10212221010000020
116169047461132a
121b975a2aa36904
1391554809a42b8
143a597a1b9b820
15198054eba93ea
hexc1038dea3894

212221010000020 has 96 divisors (see below), whose sum is σ = 522706125666816. Its totient is φ = 70873836019200.

The previous prime is 212221010000011. The next prime is 212221010000089. The reversal of 212221010000020 is 20000010122212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119752591 + ... + 121511830.

It is an arithmetic number, because the mean of its divisors is an integer number (5444855475696).

Almost surely, 2212221010000020 is an apocalyptic number.

212221010000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221010000020 is an abundant number, since it is smaller than the sum of its proper divisors (310485115666796).

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

212221010000020 is a wasteful number, since it uses less digits than its factorization.

212221010000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241264601 (or 241264599 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212221010000020 its reverse (20000010122212), we get a palindrome (232221020122232).

The spelling of 212221010000020 in words is "two hundred twelve trillion, two hundred twenty-one billion, ten million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 103 122 140 206 244 305 412 427 515 610 721 854 1030 1220 1442 1708 2060 2135 2884 3605 4270 6283 7210 8540 12566 14420 25132 31415 43981 62830 87962 125660 175924 219905 439810 879620 241264421 482528842 965057684 1206322105 1688850947 2412644210 3377701894 4825288420 6755403788 8444254735 14717129681 16888509470 24850235363 29434259362 33777018940 49700470726 58868518724 73585648405 99400941452 103019907767 124251176815 147171296810 173951647541 206039815534 248502353630 294342593620 347903295082 412079631068 497004707260 515099538835 695806590164 869758237705 1030199077670 1515864357143 1739516475410 2060398155340 3031728714286 3479032950820 6063457428572 7579321785715 10611050500001 15158643571430 21222101000002 30317287142860 42444202000004 53055252500005 106110505000010 212221010000020