Search a number
-
+
202300212101020 = 2251110711353756971
BaseRepresentation
bin101101111111110110110000…
…010001111011111110011100
3222112021201012121111210011221
4231333312300101323332130
5203003441313244213040
61554131233501423124
760416464562502445
oct5577666021737634
9875251177453157
10202300212101020
1159506046859030
121a83317786aaa4
1388b5a9c5850c7
1437d554d8682cc
15185c45d17574a
hexb7fdb047bf9c

202300212101020 has 96 divisors (see below), whose sum is σ = 467824537910016. Its totient is φ = 72869686771200.

The previous prime is 202300212100981. The next prime is 202300212101051. The reversal of 202300212101020 is 20101212003202.

It is a happy number.

It is a super-2 number, since 2×2023002121010202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202300212100985 and 202300212101003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266871135 + ... + 267628105.

It is an arithmetic number, because the mean of its divisors is an integer number (4873172269896).

Almost surely, 2202300212101020 is an apocalyptic number.

202300212101020 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 202300212101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233912268955008).

202300212101020 is an abundant number, since it is smaller than the sum of its proper divisors (265524325808996).

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

202300212101020 is a wasteful number, since it uses less digits than its factorization.

202300212101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768451 (or 768449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 202300212101020 its reverse (20101212003202), we get a palindrome (222401424104222).

The spelling of 202300212101020 in words is "two hundred two trillion, three hundred billion, two hundred twelve million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 2140 2354 4708 5885 11353 11770 22706 23540 45412 56765 113530 124883 227060 249766 499532 624415 756971 1214771 1248830 1513942 2429542 2497660 3027884 3784855 4859084 6073855 7569710 8326681 12147710 13362481 15139420 16653362 24295420 26724962 33306724 41633405 53449924 66812405 80995897 83266810 133624810 161991794 166533620 267249620 323983588 404979485 809958970 890954867 1619917940 1781909734 3563819468 4454774335 8593891763 8909548670 17187783526 17819097340 34375567052 42969458815 85938917630 94532809393 171877835260 189065618786 378131237572 472664046965 919546418641 945328093930 1839092837282 1890656187860 3678185674564 4597732093205 9195464186410 10115010605051 18390928372820 20230021210102 40460042420204 50575053025255 101150106050510 202300212101020