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2202002312120 = 235132755943093
BaseRepresentation
bin100000000010110001100…
…100001100101110111000
321210111202022211112022122
4200002301210030232320
5242034200042441440
64403330315340412
7315042445553522
oct40026144145670
97714668745278
102202002312120
11779955998796
122b691a151708
1312c85665a100
147881286ca12
153c42c11e7b5
hex200b190cbb8

2202002312120 has 96 divisors (see below), whose sum is σ = 5365771840800. Its totient is φ = 812920582656.

The previous prime is 2202002312023. The next prime is 2202002312123. The reversal of 2202002312120 is 212132002022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202002312123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51077294 + ... + 51120386.

It is an arithmetic number, because the mean of its divisors is an integer number (55893456675).

Almost surely, 22202002312120 is an apocalyptic number.

2202002312120 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 2202002312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682885920400).

2202002312120 is an abundant number, since it is smaller than the sum of its proper divisors (3163769528680).

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

2202002312120 is a wasteful number, since it uses less digits than its factorization.

2202002312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50689 (or 50672 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2202002312120 its reverse (212132002022), we get a palindrome (2414134314142).

The spelling of 2202002312120 in words is "two trillion, two hundred two billion, two million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 7559 15118 30236 37795 43093 60472 75590 86186 98267 151180 172372 196534 215465 302360 344744 393068 430930 491335 560209 786136 861860 982670 1120418 1277471 1723720 1965340 2240836 2554942 2801045 3930680 4481672 5109884 5602090 6387355 7282717 10219768 11204180 12774710 14565434 22408360 25549420 29130868 36413585 51098840 58261736 72827170 145654340 291308680 325739987 651479974 1302959948 1628699935 2605919896 3257399870 4234619831 6514799740 8469239662 13029599480 16938479324 21173099155 33876958648 42346198310 55050057803 84692396620 110100115606 169384793240 220200231212 275250289015 440400462424 550500578030 1101001156060 2202002312120