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100022212220 = 22572396434649
BaseRepresentation
bin101110100100111001…
…0011101011001111100
3100120011201102211200112
41131021302131121330
53114321141242340
6113541035045152
710140433530110
oct1351162353174
9316151384615
10100022212220
1139467a27507
12174752a07b8
1395802b8a78
144babda3740
152906176065
hex1749c9d67c

100022212220 has 96 divisors (see below), whose sum is σ = 241484544000. Its totient is φ = 34089398784.

The previous prime is 100022212207. The next prime is 100022212253. The reversal of 100022212220 is 22212220001.

It is a super-5 number, since 5×1000222122205 (a number of 56 digits) contains 55555 as substring.

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 = 100022212195 and 100022212204.

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, 21512456 + ... + 21517104.

It is an arithmetic number, because the mean of its divisors is an integer number (2515464000).

Almost surely, 2100022212220 is an apocalyptic number.

100022212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120742272000).

100022212220 is an abundant number, since it is smaller than the sum of its proper divisors (141462331780).

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

100022212220 is a wasteful number, since it uses less digits than its factorization.

100022212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5547 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100022212220 its reverse (22212220001), we get a palindrome (122234432221).

It can be divided in two parts, 10002 and 2212220, that added together give a palindrome (2222222).

The spelling of 100022212220 in words is "one hundred billion, twenty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 239 478 643 956 1195 1286 1673 2390 2572 3215 3346 4501 4649 4780 6430 6692 8365 9002 9298 12860 16730 18004 18596 22505 23245 32543 33460 45010 46490 65086 90020 92980 130172 153677 162715 307354 325430 614708 650860 768385 1075739 1111111 1536770 2151478 2222222 2989307 3073540 4302956 4444444 5378695 5555555 5978614 7777777 10757390 11111110 11957228 14946535 15555554 20925149 21514780 22222220 29893070 31111108 38888885 41850298 59786140 77777770 83700596 104625745 155555540 209251490 418502980 714444373 1428888746 2857777492 3572221865 5001110611 7144443730 10002221222 14288887460 20004442444 25005553055 50011106110 100022212220