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10111222101012 = 2235431768720183
BaseRepresentation
bin1001001100100011001111…
…0011010011010000010100
31022210121211110020101121220
42103020303303103100110
52311130240324213022
633301010432410340
72062340336532414
oct223106363232024
938717743211556
1010111222101012
11324916630576a
1211737579a69b0
1358463a8b7406
1426d558756644
1512803948e85c
hex93233cd3414

10111222101012 has 48 divisors (see below), whose sum is σ = 23601434744832. Its totient is φ = 3369181465440.

The previous prime is 10111222101007. The next prime is 10111222101017. The reversal of 10111222101012 is 21010122211101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10111222101007) and next prime (10111222101017).

It is a junction number, because it is equal to n+sod(n) for n = 10111222100982 and 10111222101000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111222101017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500967073 + ... + 500987255.

It is an arithmetic number, because the mean of its divisors is an integer number (491696557184).

Almost surely, 210111222101012 is an apocalyptic number.

10111222101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10111222101012 is an abundant number, since it is smaller than the sum of its proper divisors (13490212643820).

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

10111222101012 is a wasteful number, since it uses less digits than its factorization.

10111222101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33308 (or 33306 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10111222101012 its reverse (21010122211101), we get a palindrome (31121344312113).

The spelling of 10111222101012 in words is "ten trillion, one hundred eleven billion, two hundred twenty-two million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 5431 7687 10862 15374 16293 20183 21724 23061 30748 32586 40366 46122 60549 65172 80732 92244 121098 242196 41748097 83496194 109613873 125244291 155146721 166992388 219227746 250488582 310293442 328841619 438455492 465440163 500977164 620586884 657683238 930880326 1315366476 1861760652 842601841751 1685203683502 2527805525253 3370407367004 5055611050506 10111222101012