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10121112111110 = 25721113144442873
BaseRepresentation
bin1001001101001000000101…
…0010101100100000000110
31022211120100201000221222012
42103102001102230200012
52311311014200023420
633305324045534222
72063140410324200
oct223220122544006
938746321027865
1010121112111110
113252380a25730
121175657b74372
13585555873cb0
1426dc16047770
15128417872dc5
hex934814ac806

10121112111110 has 96 divisors (see below), whose sum is σ = 24897329305632. Its totient is φ = 2911968299520.

The previous prime is 10121112111101. The next prime is 10121112111139. The reversal of 10121112111110 is 1111121112101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72151367 + ... + 72291506.

It is an arithmetic number, because the mean of its divisors is an integer number (259347180267).

Almost surely, 210121112111110 is an apocalyptic number.

10121112111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10121112111110 is an abundant number, since it is smaller than the sum of its proper divisors (14776217194522).

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

10121112111110 is a wasteful number, since it uses less digits than its factorization.

10121112111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144442918 (or 144442911 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 10121112111110 its reverse (1111121112101), we get a palindrome (11232233223211).

Subtracting from 10121112111110 its reverse (1111121112101), we obtain a palindrome (9009990999009).

The spelling of 10121112111110 in words is "ten trillion, one hundred twenty-one billion, one hundred twelve million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 49 55 65 70 77 91 98 110 130 143 154 182 245 286 385 455 490 539 637 715 770 910 1001 1078 1274 1430 2002 2695 3185 5005 5390 6370 7007 10010 14014 35035 70070 144442873 288885746 722214365 1011100111 1444428730 1588871603 1877757349 2022200222 3177743206 3755514698 5055500555 7077700777 7944358015 9388786745 10111001110 11122101221 13144301443 14155401554 15888716030 18777573490 20655330839 22244202442 26288602886 35388503885 41310661678 55610506105 65721507215 70777007770 77854708547 92010110101 103276654195 111221012210 131443014430 144587315873 155709417094 184020220202 206553308390 289174631746 389273542735 460050550505 722936579365 778547085470 920101101010 1012111211111 1445873158730 2024222422222 5060556055555 10121112111110