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102211021022200 = 23522446920885819
BaseRepresentation
bin10111001111010111011011…
…100110011010001111111000
3111101220021111210110000000121
4113033113123212122033320
5101344111132340202300
61001215032252343024
730346334245554346
oct2717273346321770
9441807453400017
10102211021022200
112a6274a5805272
12b569220174a74
1345055c50a459c
141b3507b366996
15bc3b2356481a
hex5cf5db99a3f8

102211021022200 has 48 divisors (see below), whose sum is σ = 237650347161000. Its totient is φ = 40882735585920.

The previous prime is 102211021022197. The next prime is 102211021022261. The reversal of 102211021022200 is 2220120112201.

It is a happy number.

It is a super-2 number, since 2×1022110210222002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5549110 + ... + 15336709.

Almost surely, 2102211021022200 is an apocalyptic number.

102211021022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211021022200 is an abundant number, since it is smaller than the sum of its proper divisors (135439326138800).

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

102211021022200 is a wasteful number, since it uses less digits than its factorization.

102211021022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20910304 (or 20910295 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102211021022200 its reverse (2220120112201), we get a palindrome (104431141134401).

Subtracting from 102211021022200 its reverse (2220120112201), we obtain a palindrome (99990900909999).

The spelling of 102211021022200 in words is "one hundred two trillion, two hundred eleven billion, twenty-one million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 24469 48938 97876 122345 195752 244690 489380 611725 978760 1223450 2446900 4893800 20885819 41771638 83543276 104429095 167086552 208858190 417716380 522145475 835432760 1044290950 2088581900 4177163800 511055105111 1022110210222 2044220420444 2555275525555 4088440840888 5110551051110 10221102102220 12776377627775 20442204204440 25552755255550 51105510511100 102211021022200