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101022212220 = 22353779576019
BaseRepresentation
bin101111000010101100…
…1001010000001111100
3100122202102010002210120
41132011121022001330
53123343141242340
6114224200334540
710204265431026
oct1360531120174
9318672102716
10101022212220
1139930450296
12176b4174450
1396ac525c47
144c64b11016
152963d574d0
hex178564a07c

101022212220 has 96 divisors (see below), whose sum is σ = 294184934400. Its totient is φ = 25879336704.

The previous prime is 101022212219. The next prime is 101022212267. The reversal of 101022212220 is 22212220101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101022212220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112630 + ... + 463389.

It is an arithmetic number, because the mean of its divisors is an integer number (3064426400).

Almost surely, 2101022212220 is an apocalyptic number.

101022212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022212220 is an abundant number, since it is smaller than the sum of its proper divisors (193162722180).

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

101022212220 is a wasteful number, since it uses less digits than its factorization.

101022212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576147 (or 576145 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101022212220 its reverse (22212220101), we get a palindrome (123234432321).

The spelling of 101022212220 in words is "one hundred one billion, twenty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 79 111 148 158 185 222 237 316 370 395 444 474 555 740 790 948 1110 1185 1580 2220 2370 2923 4740 5846 8769 11692 14615 17538 29230 35076 43845 58460 87690 175380 576019 1152038 1728057 2304076 2880095 3456114 5760190 6912228 8640285 11520380 17280570 21312703 34561140 42625406 45505501 63938109 85250812 91011002 106563515 127876218 136516503 182022004 213127030 227527505 255752436 273033006 319690545 426254060 455055010 546066012 639381090 682582515 910110020 1278762180 1365165030 1683703537 2730330060 3367407074 5051110611 6734814148 8418517685 10102221222 16837035370 20204442444 25255553055 33674070740 50511106110 101022212220