Search a number
-
+
10221120000020 = 2252371312955297
BaseRepresentation
bin1001010010111100101000…
…1110100001000000010100
31100012010111102112002202202
42110233022032201000110
52314430323210000040
633423303454024032
72103310611340346
oct224571216410024
940163442462682
1010221120000020
113290830859896
121190b084a8018
13591b02bb6417
142749c215d296
1512ad1c61a015
hex94bca3a1014

10221120000020 has 48 divisors (see below), whose sum is σ = 22713043707648. Its totient is φ = 3855609246720.

The previous prime is 10221119999941. The next prime is 10221120000023. The reversal of 10221120000020 is 2000002112201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10221119999956 and 10221120000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221120000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156444989 + ... + 156510308.

It is an arithmetic number, because the mean of its divisors is an integer number (473188410576).

Almost surely, 210221120000020 is an apocalyptic number.

10221120000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221120000020 is an abundant number, since it is smaller than the sum of its proper divisors (12491923707628).

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

10221120000020 is a wasteful number, since it uses less digits than its factorization.

10221120000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312955400 (or 312955398 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10221120000020 its reverse (2000002112201), we get a palindrome (12221122112221).

The spelling of 10221120000020 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23 46 71 92 115 142 230 284 355 460 710 1420 1633 3266 6532 8165 16330 32660 312955297 625910594 1251821188 1564776485 3129552970 6259105940 7197971831 14395943662 22219826087 28791887324 35989859155 44439652174 71979718310 88879304348 111099130435 143959436620 222198260870 444396521740 511056000001 1022112000002 2044224000004 2555280000005 5110560000010 10221120000020