Search a number
-
+
10021021121220 = 22351723342165367
BaseRepresentation
bin1001000111010011001101…
…1001110111101011000100
31022111000000012011212001120
42101310303121313223010
52303141022401334340
633151332112353540
72052665150051064
oct221646331675304
938430005155046
1010021021121220
1132139891a257a
12115a1838458b0
13578c94256ba5
1426903cc9d3a4
15125a0a6634d0
hex91d33677ac4

10021021121220 has 96 divisors (see below), whose sum is σ = 29836889042688. Its totient is φ = 2504285417472.

The previous prime is 10021021121161. The next prime is 10021021121323. The reversal of 10021021121220 is 2212112012001.

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 10021021121220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20845024 + ... + 21320343.

It is an arithmetic number, because the mean of its divisors is an integer number (310800927528).

Almost surely, 210021021121220 is an apocalyptic number.

10021021121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021021121220 is an abundant number, since it is smaller than the sum of its proper divisors (19815867921468).

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

10021021121220 is a wasteful number, since it uses less digits than its factorization.

10021021121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42165629 (or 42165627 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10021021121220 its reverse (2212112012001), we get a palindrome (12233133133221).

The spelling of 10021021121220 in words is "ten trillion, twenty-one billion, twenty-one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 233 255 340 466 510 699 932 1020 1165 1398 2330 2796 3495 3961 4660 6990 7922 11883 13980 15844 19805 23766 39610 47532 59415 79220 118830 237660 42165367 84330734 126496101 168661468 210826835 252992202 421653670 505984404 632480505 716811239 843307340 1264961010 1433622478 2150433717 2529922020 2867244956 3584056195 4300867434 7168112390 8601734868 9824530511 10752168585 14336224780 19649061022 21504337170 29473591533 39298122044 43008674340 49122652555 58947183066 98245305110 117894366132 147367957665 167017018687 196490610220 294735915330 334034037374 501051056061 589471830660 668068074748 835085093435 1002102112122 1670170186870 2004204224244 2505255280305 3340340373740 5010510560610 10021021121220