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2231000022120 = 2335531312677757
BaseRepresentation
bin100000011101110001111…
…101101011110001101000
321220021121020010211021220
4200131301331223301220
5243023042001201440
64424523545102040
7320120155203222
oct40356175536150
97807536124256
102231000022120
11790186394481
12300471487920
131324c81928ac
1479da3b31412
153d077c638d0
hex20771f6bc68

2231000022120 has 128 divisors (see below), whose sum is σ = 6871341248640. Its totient is φ = 579252177920.

The previous prime is 2231000022107. The next prime is 2231000022127. The reversal of 2231000022120 is 212200001322.

It is a happy number.

It is a super-3 number, since 3×22310000221203 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 2231000022120.

It is not an unprimeable number, because it can be changed into a prime (2231000022127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505719 + ... + 2172038.

It is an arithmetic number, because the mean of its divisors is an integer number (53682353505).

Almost surely, 22231000022120 is an apocalyptic number.

2231000022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231000022120 is an abundant number, since it is smaller than the sum of its proper divisors (4640341226520).

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

2231000022120 is a wasteful number, since it uses less digits than its factorization.

2231000022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677955 (or 2677951 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2231000022120 its reverse (212200001322), we get a palindrome (2443200023442).

The spelling of 2231000022120 in words is "two trillion, two hundred thirty-one billion, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 131 159 212 262 265 318 393 424 524 530 636 655 786 795 1048 1060 1272 1310 1572 1590 1965 2120 2620 3144 3180 3930 5240 6360 6943 7860 13886 15720 20829 27772 34715 41658 55544 69430 83316 104145 138860 166632 208290 277720 416580 833160 2677757 5355514 8033271 10711028 13388785 16066542 21422056 26777570 32133084 40166355 53555140 64266168 80332710 107110280 141921121 160665420 283842242 321330840 350786167 425763363 567684484 701572334 709605605 851526726 1052358501 1135368968 1403144668 1419211210 1703053452 1753930835 2104717002 2128816815 2806289336 2838422420 3406106904 3507861670 4209434004 4257633630 5261792505 5676844840 7015723340 8418868008 8515267260 10523585010 14031446680 17030534520 18591666851 21047170020 37183333702 42094340040 55775000553 74366667404 92958334255 111550001106 148733334808 185916668510 223100002212 278875002765 371833337020 446200004424 557750005530 743666674040 1115500011060 2231000022120