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2120010000020 = 22511431012218837
BaseRepresentation
bin11110110110011010011…
…100010110011010010100
321111200010010211111220122
4132312122130112122110
5234213240030000040
64301530311451112
7306110552450033
oct36663234263224
97450103744818
102120010000020
11748100416090
122a2a57086a98
13124bba8402c3
147487527a71a
153a22dcab1b5
hex1ed9a716694

2120010000020 has 96 divisors (see below), whose sum is σ = 5018905051776. Its totient is φ = 745528896000.

The previous prime is 2120009999999. The next prime is 2120010000029. The reversal of 2120010000020 is 200000100212.

It is a junction number, because it is equal to n+sod(n) for n = 2120009999962 and 2120010000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120010000029) 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, 153959 + ... + 2064878.

It is an arithmetic number, because the mean of its divisors is an integer number (52280260956).

Almost surely, 22120010000020 is an apocalyptic number.

2120010000020 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 2120010000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509452525888).

2120010000020 is an abundant number, since it is smaller than the sum of its proper divisors (2898895051756).

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

2120010000020 is a wasteful number, since it uses less digits than its factorization.

2120010000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219001 (or 2218999 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 2120010000020 its reverse (200000100212), we get a palindrome (2320010100232).

The spelling of 2120010000020 in words is "two trillion, one hundred twenty billion, ten million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 101 110 172 202 215 220 404 430 473 505 860 946 1010 1111 1892 2020 2222 2365 4343 4444 4730 5555 8686 9460 11110 17372 21715 22220 43430 47773 86860 95546 191092 238865 477730 955460 2218837 4437674 8875348 11094185 22188370 24407207 44376740 48814414 95409991 97628828 122036035 190819982 224102537 244072070 381639964 448205074 477049955 488144140 896410148 954099910 1049509901 1120512685 1908199820 2099019802 2241025370 2465127907 4198039604 4482050740 4930255814 5247549505 9636409091 9860511628 10495099010 12325639535 19272818182 20990198020 24651279070 38545636364 48182045455 49302558140 96364090910 106000500001 192728181820 212001000002 424002000004 530002500005 1060005000010 2120010000020