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2120202102020 = 2251018771196813
BaseRepresentation
bin11110110110100101111…
…001001010010100000100
321111200121112022022022112
4132312211321022110010
5234214133214231040
64302001333120152
7306115404341132
oct36664571122404
97450545268275
102120202102020
117481998a4172
122a2aab489058
13124c1b590722
14748929a4752
153a240aa5365
hex1eda5e4a504

2120202102020 has 48 divisors (see below), whose sum is σ = 4501638732528. Its totient is φ = 838725849600.

The previous prime is 2120202101999. The next prime is 2120202102079. The reversal of 2120202102020 is 202012020212.

It can be written as a sum of positive squares in 8 ways, for example, as 143180505664 + 1977021596356 = 378392^2 + 1406066^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2120202101986 and 2120202102004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1173134 + ... + 2369946.

It is an arithmetic number, because the mean of its divisors is an integer number (93784140261).

Almost surely, 22120202102020 is an apocalyptic number.

2120202102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120202102020 is an abundant number, since it is smaller than the sum of its proper divisors (2381436630508).

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

2120202102020 is a wasteful number, since it uses less digits than its factorization.

2120202102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197800 (or 1197798 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2120202102020 its reverse (202012020212), we get a palindrome (2322214122232).

It can be divided in two parts, 2120202 and 102020, that added together give a palindrome (2222222).

The spelling of 2120202102020 in words is "two trillion, one hundred twenty billion, two hundred two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 877 1010 1754 2020 3508 4385 8770 17540 88577 177154 354308 442885 885770 1196813 1771540 2393626 4787252 5984065 11968130 23936260 120878113 241756226 483512452 604390565 1049605001 1208781130 2099210002 2417562260 4198420004 5248025005 10496050010 20992100020 106010105101 212020210202 424040420404 530050525505 1060101051010 2120202102020