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2022232100130 = 2335116311079059
BaseRepresentation
bin11101011011010110011…
…011010000110100100010
321011022201211110112222000
4131123112123100310202
5231113012404201010
64145000044024430
7266046540144354
oct35332633206442
97138654415860
102022232100130
1170a695334760
12287b09532116
131189074cc4c8
146dc3b3ab0d4
1537909ba67c0
hex1d6d66d0d22

2022232100130 has 128 divisors (see below), whose sum is σ = 5892185548800. Its totient is φ = 489460708800.

The previous prime is 2022232100117. The next prime is 2022232100131. The reversal of 2022232100130 is 310012322202.

2022232100130 is a `hidden beast` number, since 202 + 2 + 232 + 100 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2022232100131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1334541 + ... + 2413599.

It is an arithmetic number, because the mean of its divisors is an integer number (46032699600).

Almost surely, 22022232100130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022232100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946092774400).

2022232100130 is an abundant number, since it is smaller than the sum of its proper divisors (3869953448670).

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

2022232100130 is a wasteful number, since it uses less digits than its factorization.

2022232100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079717 (or 1079711 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2022232100130 its reverse (310012322202), we get a palindrome (2332244422332).

The spelling of 2022232100130 in words is "two trillion, twenty-two billion, two hundred thirty-two million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 631 990 1262 1485 1893 2970 3155 3786 5679 6310 6941 9465 11358 13882 17037 18930 20823 28395 34074 34705 41646 56790 62469 69410 85185 104115 124938 170370 187407 208230 312345 374814 624690 937035 1079059 1874070 2158118 3237177 5395295 6474354 9711531 10790590 11869649 16185885 19423062 23739298 29134593 32371770 35608947 48557655 58269186 59348245 71217894 97115310 106826841 118696490 145672965 178044735 213653682 291345930 320480523 356089470 534134205 640961046 680886229 1068268410 1361772458 1602402615 2042658687 3204805230 3404431145 4085317374 6127976061 6808862290 7489748519 10213293435 12255952122 14979497038 18383928183 20426586870 22469245557 30639880305 36767856366 37448742595 44938491114 61279760610 67407736671 74897485190 91919640915 112346227785 134815473342 183839281830 202223210013 224692455570 337038683355 404446420026 674077366710 1011116050065 2022232100130