Search a number
-
+
2022020120100 = 2235210783975079
BaseRepresentation
bin11101011011001001110…
…010100111111000100100
321011022012001120212000210
4131123021302213320210
5231112044122320400
64144523032335420
7266041354302651
oct35331162477044
97138161525023
102022020120100
1170a596709a52
12287a6a544570
131188a260c336
146dc1b18ac28
15378e6282950
hex1d6c9ca7e24

2022020120100 has 144 divisors (see below), whose sum is σ = 5912171596800. Its totient is φ = 533522286720.

The previous prime is 2022020120093. The next prime is 2022020120189. The reversal of 2022020120100 is 10210202202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26894361 + ... + 26969439.

It is an arithmetic number, because the mean of its divisors is an integer number (41056747200).

Almost surely, 22022020120100 is an apocalyptic number.

2022020120100 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 2022020120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956085798400).

2022020120100 is an abundant number, since it is smaller than the sum of its proper divisors (3890151476700).

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

2022020120100 is a wasteful number, since it uses less digits than its factorization.

2022020120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76042 (or 76035 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2022020120100 its reverse (10210202202), we get a palindrome (2032230322302).

The spelling of 2022020120100 in words is "two trillion, twenty-two billion, twenty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 428 535 642 839 1070 1284 1605 1678 2140 2517 2675 3210 3356 4195 5034 5350 6420 8025 8390 10068 10700 12585 16050 16780 20975 25170 32100 41950 50340 62925 75079 83900 89773 125850 150158 179546 225237 251700 269319 300316 359092 375395 448865 450474 538638 750790 897730 900948 1077276 1126185 1346595 1501580 1795460 1876975 2244325 2252370 2693190 3753950 4488650 4504740 5386380 5630925 6732975 7507900 8033453 8977300 11261850 13465950 16066906 22523700 24100359 26931900 32133812 40167265 48200718 62991281 80334530 96401436 120501795 125982562 160669060 188973843 200836325 241003590 251965124 314956405 377947686 401672650 482007180 602508975 629912810 755895372 803345300 944869215 1205017950 1259825620 1574782025 1889738430 2410035900 3149564050 3779476860 4724346075 6299128100 6740067067 9448692150 13480134134 18897384300 20220201201 26960268268 33700335335 40440402402 67400670670 80880804804 101101006005 134801341340 168501676675 202202012010 337003353350 404404024020 505505030025 674006706700 1011010060050 2022020120100