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2022102122100 = 2235217937655533
BaseRepresentation
bin11101011011001110101…
…011011011111001110100
321011022101202212222121220
4131123032223123321310
5231112231120401400
64144535122110340
7266043401304564
oct35331653337164
97138352788556
102022102122100
1170a628a282a5
12287a91aab3b0
131188b65c0a28
146dc28014da4
15378ed57e7a0
hex1d6ceadbe74

2022102122100 has 72 divisors (see below), whose sum is σ = 5883300632160. Its totient is φ = 536214775680.

The previous prime is 2022102122099. The next prime is 2022102122153. The reversal of 2022102122100 is 12212012202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2022102122100.

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, 18774067 + ... + 18881466.

It is an arithmetic number, because the mean of its divisors is an integer number (81712508780).

Almost surely, 22022102122100 is an apocalyptic number.

2022102122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022102122100 is an abundant number, since it is smaller than the sum of its proper divisors (3861198510060).

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

2022102122100 is a wasteful number, since it uses less digits than its factorization.

2022102122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37655729 (or 37655722 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2022102122100 its reverse (12212012202), we get a palindrome (2034314134302).

The spelling of 2022102122100 in words is "two trillion, twenty-two billion, one hundred two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 179 300 358 537 716 895 1074 1790 2148 2685 3580 4475 5370 8950 10740 13425 17900 26850 53700 37655533 75311066 112966599 150622132 188277665 225933198 376555330 451866396 564832995 753110660 941388325 1129665990 1882776650 2259331980 2824164975 3765553300 5648329950 6740340407 11296659900 13480680814 20221021221 26961361628 33701702035 40442042442 67403404070 80884084884 101105106105 134806808140 168508510175 202210212210 337017020350 404420424420 505525530525 674034040700 1011051061050 2022102122100