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212220102132020 = 225197310175745823
BaseRepresentation
bin110000010000001101010111…
…110011010100000100110100
31000211102001011210200221220102
4300100031113303110010310
5210304003232121211040
62031204322524053232
762462252652513113
oct6020152763240464
91024361153627812
10212220102132020
11616900490a56a4
121b975816994218
1391553678845b8
143a59717393c7a
1519804ea126515
hexc10357cd4134

212220102132020 has 96 divisors (see below), whose sum is σ = 480252762823680. Its totient is φ = 78533268249600.

The previous prime is 212220102131951. The next prime is 212220102132023. The reversal of 212220102132020 is 20231201022212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212220102131983 and 212220102132001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212220102132023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35071172 + ... + 40674651.

It is an arithmetic number, because the mean of its divisors is an integer number (5002632946080).

Almost surely, 2212220102132020 is an apocalyptic number.

212220102132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212220102132020 is an abundant number, since it is smaller than the sum of its proper divisors (268032660691660).

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

212220102132020 is a wasteful number, since it uses less digits than its factorization.

212220102132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75746025 (or 75746023 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212220102132020 its reverse (20231201022212), we get a palindrome (232451303154232).

The spelling of 212220102132020 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 101 146 190 202 292 365 380 404 505 730 1010 1387 1460 1919 2020 2774 3838 5548 6935 7373 7676 9595 13870 14746 19190 27740 29492 36865 38380 73730 140087 147460 280174 560348 700435 1400870 2801740 75745823 151491646 302983292 378729115 757458230 1439170637 1514916460 2878341274 5529445079 5756682548 7195853185 7650328123 11058890158 14391706370 15300656246 22117780316 27647225395 28783412740 30601312492 38251640615 55294450790 76503281230 105059456501 110588901580 145356234337 153006562460 210118913002 290712468674 420237826004 525297282505 558473952979 581424937348 726781171685 1050594565010 1116947905958 1453562343370 2101189130020 2233895811916 2792369764895 2907124686740 5584739529790 10611005106601 11169479059580 21222010213202 42444020426404 53055025533005 106110051066010 212220102132020