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2120204020212 = 22321015737101641
BaseRepresentation
bin11110110110100110000…
…000011110100111110100
321111200121122220202120200
4132312212000132213310
5234214134212121322
64302001442200500
7306115426550415
oct36664600364764
97450548822520
102120204020212
1174819a994353
122a2ab0053130
13124c1bab2855
1474892d4380c
153a240d338ac
hex1eda601e9f4

2120204020212 has 72 divisors (see below), whose sum is σ = 5413464710472. Its totient is φ = 699608448000.

The previous prime is 2120204020171. The next prime is 2120204020217.

2120204020212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3074258916 + 2117129761296 = 55446^2 + 1455036^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120204020217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20808912 + ... + 20910552.

Almost surely, 22120204020212 is an apocalyptic number.

It is an amenable number.

2120204020212 is an abundant number, since it is smaller than the sum of its proper divisors (3293260690260).

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

2120204020212 is a wasteful number, since it uses less digits than its factorization.

2120204020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107489 (or 107484 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 2120204020212 in words is "two trillion, one hundred twenty billion, two hundred four million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 5737 11474 17211 22948 34422 51633 68844 101641 103266 203282 206532 304923 406564 579437 609846 914769 1158874 1219692 1738311 1829538 2317748 3476622 3659076 5214933 6953244 10265741 10429866 20531482 20859732 30797223 41062964 61594446 92391669 123188892 184783338 369566676 583114417 1166228834 1749343251 2332457668 3498686502 5248029753 6997373004 10496059506 20992119012 58894556117 117789112234 176683668351 235578224468 353367336702 530051005053 706734673404 1060102010106 2120204020212