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22010100012120 = 23351175292214679
BaseRepresentation
bin1010000000100101000000…
…01100010101010001011000
32212221010220201021010120210
411000102200030111101120
510341103141100341440
6114451144513251120
74431114540144303
oct500224014252130
985833821233523
1022010100012120
117016481722480
122575855b63aa0
13c3870b18172c
1456141a265b3a
152827ee8c9a80
hex1404a0315458

22010100012120 has 128 divisors (see below), whose sum is σ = 72042654528000. Its totient is φ = 5335070714880.

The previous prime is 22010100012119. The next prime is 22010100012149. The reversal of 22010100012120 is 2121000101022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22010100012096 and 22010100012105.

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, 8830941 + ... + 11045619.

It is an arithmetic number, because the mean of its divisors is an integer number (562833238500).

Almost surely, 222010100012120 is an apocalyptic number.

22010100012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010100012120 is an abundant number, since it is smaller than the sum of its proper divisors (50032554515880).

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

22010100012120 is a wasteful number, since it uses less digits than its factorization.

22010100012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222233 (or 2222229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22010100012120 its reverse (2121000101022), we get a palindrome (24131100113142).

The spelling of 22010100012120 in words is "twenty-two trillion, ten billion, one hundred million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 7529 15058 22587 30116 37645 45174 60232 75290 82819 90348 112935 150580 165638 180696 225870 248457 301160 331276 414095 451740 496914 662552 828190 903480 993828 1242285 1656380 1987656 2214679 2484570 3312760 4429358 4969140 6644037 8858716 9938280 11073395 13288074 17717432 22146790 24361469 26576148 33220185 44293580 48722938 53152296 66440370 73084407 88587160 97445876 121807345 132880740 146168814 194891752 243614690 265761480 292337628 365422035 487229380 584675256 730844070 974458760 1461688140 2923376280 16674318191 33348636382 50022954573 66697272764 83371590955 100045909146 133394545528 166743181910 183417500101 200091818292 250114772865 333486363820 366835000202 400183636584 500229545730 550252500303 666972727640 733670000404 917087500505 1000459091460 1100505000606 1467340000808 1834175001010 2000918182920 2201010001212 2751262501515 3668350002020 4402020002424 5502525003030 7336700004040 11005050006060 22010100012120