Search a number
-
+
2131104030100 = 22521132115231709
BaseRepresentation
bin11111000000101111101…
…100101101110110010100
321112201202022012122011121
4133000233230231312110
5234404000112430400
64311003215213324
7306652513242043
oct37005754556624
97481668178147
102131104030100
11751883738091
122a5032517244
13125c6809b046
147520882655a
153a67cc2121a
hex1f02fb2dd94

2131104030100 has 144 divisors (see below), whose sum is σ = 4699242354240. Its totient is φ = 838794700800.

The previous prime is 2131104030073. The next prime is 2131104030137. The reversal of 2131104030100 is 10304011312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246988046 + ... + 1246989754.

It is an arithmetic number, because the mean of its divisors is an integer number (32633627460).

Almost surely, 22131104030100 is an apocalyptic number.

2131104030100 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 2131104030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349621177120).

2131104030100 is an abundant number, since it is smaller than the sum of its proper divisors (2568138324140).

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

2131104030100 is a wasteful number, since it uses less digits than its factorization.

2131104030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2131104030100 its reverse (10304011312), we get a palindrome (2141408041412).

The spelling of 2131104030100 in words is "two trillion, one hundred thirty-one billion, one hundred four million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 211 226 422 452 523 565 844 1046 1055 1130 1709 2092 2110 2260 2615 2825 3418 4220 5230 5275 5650 6836 8545 10460 10550 11300 13075 17090 21100 23843 26150 34180 42725 47686 52300 59099 85450 95372 110353 118198 119215 170900 193117 220706 236396 238430 295495 360599 386234 441412 476860 551765 590990 596075 721198 772468 893807 965585 1103530 1181980 1192150 1442396 1477475 1787614 1802995 1931170 2207060 2384300 2758825 2954950 3575228 3605990 3862340 4469035 4827925 5517650 5909900 7211980 8938070 9014975 9655850 11035300 12469889 17876140 18029950 19311700 22345175 24939778 36059900 40747687 44690350 49879556 62349445 81495374 89380700 101000191 124698890 162990748 188593277 202000382 203738435 249397780 311747225 377186554 404000764 407476870 505000955 623494450 754373108 814953740 942966385 1010001910 1018692175 1246988900 1885932770 2020003820 2037384350 2525004775 3771865540 4074768700 4714831925 5050009550 9429663850 10100019100 18859327700 21311040301 42622080602 85244161204 106555201505 213110403010 426220806020 532776007525 1065552015050 2131104030100