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1000110122010 = 233510253361271
BaseRepresentation
bin11101000110110110011…
…01010110010000011010
310112121110101122012111000
432203123031112100122
5112341211142401020
62043235542445430
7132153442526316
oct16433315262032
93477411565430
101000110122010
1135616510021a
121419b2a33876
13734050445ac
1436596d10b46
151b03626a090
hexe8db35641a

1000110122010 has 64 divisors (see below), whose sum is σ = 2667227823360. Its totient is φ = 266669282880.

The previous prime is 1000110121973. The next prime is 1000110122021. The reversal of 1000110122010 is 102210110001.

It is a happy number.

1000110122010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10001101220102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000110121983 and 1000110122001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2587675 + ... + 2948945.

It is an arithmetic number, because the mean of its divisors is an integer number (41675434740).

Almost surely, 21000110122010 is an apocalyptic number.

1000110122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000110122010 is an abundant number, since it is smaller than the sum of its proper divisors (1667117701350).

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

1000110122010 is a wasteful number, since it uses less digits than its factorization.

1000110122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371540 (or 371534 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000110122010 its reverse (102210110001), we get a palindrome (1102320232011).

The spelling of 1000110122010 in words is "one trillion, one hundred ten million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 10253 20506 30759 51265 61518 92277 102530 153795 184554 276831 307590 361271 461385 553662 722542 922770 1083813 1384155 1806355 2167626 2768310 3251439 3612710 5419065 6502878 9754317 10838130 16257195 19508634 32514390 48771585 97543170 3704111563 7408223126 11112334689 18520557815 22224669378 33337004067 37041115630 55561673445 66674008134 100011012201 111123346890 166685020335 200022024402 333370040670 500055061005 1000110122010