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2120200310020 = 2251315313532529
BaseRepresentation
bin11110110110100101110…
…010010100110100000100
321111200121101221021011011
4132312211302110310010
5234214132234410040
64302001230452004
7306115353165502
oct36664562246404
97450541837134
102120200310020
1174819888a881
122a2aaa964004
13124c1b0b3b80
1474892659672
153a24084e3ea
hex1eda5c94d04

2120200310020 has 48 divisors (see below), whose sum is σ = 4795236678960. Its totient is φ = 782790598656.

The previous prime is 2120200309967. The next prime is 2120200310023. The reversal of 2120200310020 is 200130020212.

It can be written as a sum of positive squares in 8 ways, for example, as 1108518391044 + 1011681918976 = 1052862^2 + 1005824^2 .

It is a super-2 number, since 2×21202003100202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2120200310023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3715116 + ... + 4247644.

It is an arithmetic number, because the mean of its divisors is an integer number (99900764145).

Almost surely, 22120200310020 is an apocalyptic number.

2120200310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120200310020 is an abundant number, since it is smaller than the sum of its proper divisors (2675036368940).

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

2120200310020 is a wasteful number, since it uses less digits than its factorization.

2120200310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547864 (or 547862 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2120200310020 its reverse (200130020212), we get a palindrome (2320330330232).

The spelling of 2120200310020 in words is "two trillion, one hundred twenty billion, two hundred million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 15313 30626 61252 76565 153130 199069 306260 398138 532529 796276 995345 1065058 1990690 2130116 2662645 3981380 5325290 6922877 10650580 13845754 27691508 34614385 69228770 138457540 8154616577 16309233154 32618466308 40773082885 81546165770 106010015501 163092331540 212020031002 424040062004 530050077505 1060100155010 2120200310020