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10101220002312 = 2337334131689287
BaseRepresentation
bin1001001011111101111110…
…1000010100101000001000
31022202200000101112010121220
42102333133220110220020
52310444244310033222
633252234133002040
72061534435226665
oct222773750245010
938680011463556
1010101220002312
1132449a339799a
121171826183320
1358370564390a
1426cc8a208a6c
15127b51319b5c
hex92fdfa14a08

10101220002312 has 64 divisors (see below), whose sum is σ = 25606497790080. Its totient is φ = 3319974047232.

The previous prime is 10101220002301. The next prime is 10101220002359. The reversal of 10101220002312 is 21320002210101.

It is a junction number, because it is equal to n+sod(n) for n = 10101220002291 and 10101220002300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5134933 + ... + 6824219.

It is an arithmetic number, because the mean of its divisors is an integer number (400101527970).

Almost surely, 210101220002312 is an apocalyptic number.

10101220002312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101220002312 is an abundant number, since it is smaller than the sum of its proper divisors (15505277787768).

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

10101220002312 is a wasteful number, since it uses less digits than its factorization.

10101220002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692782 (or 1692778 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10101220002312 its reverse (21320002210101), we get a palindrome (31421222212413).

The spelling of 10101220002312 in words is "ten trillion, one hundred one billion, two hundred twenty million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 3413 6826 10239 13652 20478 27304 40956 81912 249149 498298 747447 996596 1494894 1689287 1993192 2989788 3378574 5067861 5979576 6757148 10135722 13514296 20271444 40542888 123317951 246635902 369953853 493271804 739907706 986543608 1479815412 2959630824 5765536531 11531073062 17296609593 23062146124 34593219186 46124292248 69186438372 138372876744 420884166763 841768333526 1262652500289 1683536667052 2525305000578 3367073334104 5050610001156 10101220002312