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2312120100220 = 225710121618973
BaseRepresentation
bin100001101001010101000…
…110001110010101111100
322012000222121212202120221
4201221111012032111330
5300340210221201340
64530101233551124
7326021330403520
oct41512506162574
98160877782527
102312120100220
11811623579837
123141304154a4
1313a0553881c8
147dc9b553d80
154022473244a
hex21a5518e57c

2312120100220 has 72 divisors (see below), whose sum is σ = 5604577144992. Its totient is φ = 784877625600.

The previous prime is 2312120100211. The next prime is 2312120100293. The reversal of 2312120100220 is 220010212132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2312120100194 and 2312120100203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618654 + ... + 2237626.

It is an arithmetic number, because the mean of its divisors is an integer number (77841349236).

Almost surely, 22312120100220 is an apocalyptic number.

2312120100220 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 2312120100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802288572496).

2312120100220 is an abundant number, since it is smaller than the sum of its proper divisors (3292457044772).

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

2312120100220 is a wasteful number, since it uses less digits than its factorization.

2312120100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619191 (or 1619088 counting only the distinct ones).

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

Adding to 2312120100220 its reverse (220010212132), we get a palindrome (2532130312352).

The spelling of 2312120100220 in words is "two trillion, three hundred twelve billion, one hundred twenty million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 10201 14140 20402 40804 51005 71407 102010 142814 204020 285628 357035 714070 1428140 1618973 3237946 6475892 8094865 11332811 16189730 22665622 32379460 45331244 56664055 113328110 163516273 226656220 327032546 654065092 817581365 1144613911 1635162730 2289227822 3270325460 4578455644 5723069555 11446139110 16515143573 22892278220 33030287146 66060574292 82575717865 115606005011 165151435730 231212010022 330302871460 462424020044 578030025055 1156060050110 2312120100220