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2122100122300 = 225210111314912479
BaseRepresentation
bin11110111000010111000…
…001100010001010111100
321111212111210202201122221
4132320113001202022330
5234232030112403200
64302513534215124
7306213422264014
oct36702701421274
97455453681587
102122100122300
11748a83217974
122a333b0544a4
13125161880152
14749d2ab4c44
153a30252191a
hex1ee170622bc

2122100122300 has 144 divisors (see below), whose sum is σ = 4723572672000. Its totient is φ = 827341312000.

The previous prime is 2122100122291. The next prime is 2122100122319. The reversal of 2122100122300 is 32210012212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170047461 + ... + 170059939.

It is an arithmetic number, because the mean of its divisors is an integer number (32802588000).

Almost surely, 22122100122300 is an apocalyptic number.

2122100122300 is a gapful number since it is divisible by the number (20) 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 2122100122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361786336000).

2122100122300 is an abundant number, since it is smaller than the sum of its proper divisors (2601472549700).

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

2122100122300 is a wasteful number, since it uses less digits than its factorization.

2122100122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12856 (or 12849 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2122100122300 its reverse (32210012212), we get a palindrome (2154310134512).

The spelling of 2122100122300 in words is "two trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 113 149 202 226 298 404 452 505 565 596 745 1010 1130 1490 2020 2260 2525 2825 2980 3725 5050 5650 7450 10100 11300 11413 12479 14900 15049 16837 22826 24958 30098 33674 45652 49916 57065 60196 62395 67348 75245 84185 114130 124790 150490 168370 228260 249580 285325 300980 311975 336740 376225 420925 570650 623950 752450 841850 1141300 1247900 1260379 1410127 1504900 1683700 1700537 1859371 2520758 2820254 3401074 3718742 5041516 5640508 6301895 6802148 7050635 7437484 8502685 9296855 12603790 14101270 17005370 18593710 25207580 28202540 31509475 34010740 35253175 37187420 42513425 46484275 63018950 70506350 85026850 92968550 126037900 141012700 142422827 170053700 185937100 187796471 210108923 284845654 375592942 420217846 569691308 712114135 751185884 840435692 938982355 1050544615 1424228270 1877964710 2101089230 2848456540 3560570675 3755929420 4202178460 4694911775 5252723075 7121141350 9389823550 10505446150 14242282700 18779647100 21010892300 21221001223 42442002446 84884004892 106105006115 212210012230 424420024460 530525030575 1061050061150 2122100122300