Search a number
-
+
22122220022120 = 23516331317096343
BaseRepresentation
bin1010000011110101110110…
…00100001110100101101000
32220022212022112211202221202
411001322323010032211220
510344422301311201440
6115014450234223332
74442164143412031
oct501727304164550
986285275752852
1022122220022120
117059a87528469
122593526884b48
13c4616895430a
14566a14c23a88
152856b2b8d615
hex141ebb10e968

22122220022120 has 128 divisors (see below), whose sum is σ = 50277687033600. Its totient is φ = 8759991711744.

The previous prime is 22122220022113. The next prime is 22122220022171. The reversal of 22122220022120 is 2122002222122.

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 = 22122220022092 and 22122220022101.

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, 3487655669 + ... + 3487662011.

It is an arithmetic number, because the mean of its divisors is an integer number (392794429950).

Almost surely, 222122220022120 is an apocalyptic number.

22122220022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122220022120 is an abundant number, since it is smaller than the sum of its proper divisors (28155467011480).

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

22122220022120 is a wasteful number, since it uses less digits than its factorization.

22122220022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8539 (or 8535 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22122220022120 its reverse (2122002222122), we get a palindrome (24244222244242).

The spelling of 22122220022120 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 163 313 326 626 652 815 1252 1304 1565 1630 1709 2504 3130 3260 3418 6260 6343 6520 6836 8545 12520 12686 13672 17090 25372 31715 34180 50744 51019 63430 68360 102038 126860 204076 253720 255095 278567 408152 510190 534917 557134 1020380 1033909 1069834 1114268 1392835 1985359 2040760 2067818 2139668 2228536 2674585 2785670 3970718 4135636 4279336 5169545 5349170 5571340 7941436 8271272 9926795 10339090 10698340 10840187 11142680 15882872 19853590 20678180 21396680 21680374 39707180 41356360 43360748 54200935 79414360 86721496 87191471 108401870 174382942 216803740 323613517 348765884 433607480 435957355 647227034 697531768 871914710 1294454068 1618067585 1743829420 1766950481 2588908136 3236135170 3392978531 3487658840 3533900962 6472270340 6785957062 7067801924 8834752405 12944540680 13571914124 14135603848 16964892655 17669504810 27143828248 33929785310 35339009620 67859570620 70678019240 135719141240 553055500553 1106111001106 2212222002212 2765277502765 4424444004424 5530555005530 11061110011060 22122220022120