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20212010022200 = 2352415927415873
BaseRepresentation
bin1001001100001111110011…
…01011010111010100111000
32122120020201201201112101012
410212013321223113110320
510122123144031202300
6110553134052413052
74154161310333603
oct446077153272470
978506651645335
1020212010022200
116492957805717
122325281317188
13b37ca4866409
144dc3a340933a
15250b628aa435
hex1261f9ad7538

20212010022200 has 96 divisors (see below), whose sum is σ = 48147329936160. Its totient is φ = 7886263910400.

The previous prime is 20212010022199. The next prime is 20212010022203. The reversal of 20212010022200 is 222001021202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212010022203) 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, 48393464 + ... + 48809336.

It is an arithmetic number, because the mean of its divisors is an integer number (501534686835).

Almost surely, 220212010022200 is an apocalyptic number.

20212010022200 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 20212010022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24073664968080).

20212010022200 is an abundant number, since it is smaller than the sum of its proper divisors (27935319913960).

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

20212010022200 is a wasteful number, since it uses less digits than its factorization.

20212010022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421857 (or 421848 counting only the distinct ones).

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

Adding to 20212010022200 its reverse (222001021202), we get a palindrome (20434011043402).

The spelling of 20212010022200 in words is "twenty trillion, two hundred twelve billion, ten million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 5927 8200 11854 23708 29635 47416 59270 118540 148175 237080 243007 296350 415873 486014 592700 831746 972028 1185400 1215035 1663492 1944056 2079365 2430070 3326984 4158730 4860140 6075175 8317460 9720280 10396825 12150350 16634920 17050793 20793650 24300700 34101586 41587300 48601400 68203172 83174600 85253965 136406344 170507930 341015860 426269825 682031720 852539650 1705079300 2464879271 3410158600 4929758542 9859517084 12324396355 19719034168 24648792710 49297585420 61621981775 98595170840 101060050111 123243963550 202120100222 246487927100 404240200444 492975854200 505300250555 808480400888 1010600501110 2021201002220 2526501252775 4042402004440 5053002505550 10106005011100 20212010022200