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10111010140 = 22571150912899
BaseRepresentation
bin10010110101010100…
…11100010101011100
3222002122122112102001
421122222130111130
5131201404311030
64351150012044
7505363111450
oct113252342534
928078575361
1010111010140
114319446630
121b621a7024
13c519b754a
146bcbbc660
153e29d9cca
hex25aa9c55c

10111010140 has 96 divisors (see below), whose sum is σ = 26526528000. Its totient is φ = 3145048320.

The previous prime is 10111010137. The next prime is 10111010171. The reversal of 10111010140 is 4101011101.

10111010140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777411 + ... + 790309.

It is an arithmetic number, because the mean of its divisors is an integer number (276318000).

Almost surely, 210111010140 is an apocalyptic number.

10111010140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13263264000).

10111010140 is an abundant number, since it is smaller than the sum of its proper divisors (16415517860).

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

10111010140 is a wasteful number, since it uses less digits than its factorization.

10111010140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13435 (or 13433 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10111010140 its reverse (4101011101), we get a palindrome (14212021241).

The spelling of 10111010140 in words is "ten billion, one hundred eleven million, ten thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 509 770 1018 1540 2036 2545 3563 5090 5599 7126 10180 11198 12899 14252 17815 22396 25798 27995 35630 39193 51596 55990 64495 71260 78386 90293 111980 128990 141889 156772 180586 195965 257980 283778 361172 391930 451465 567556 709445 783860 902930 993223 1418890 1805860 1986446 2837780 3972892 4966115 6565591 9932230 13131182 19864460 26262364 32827955 45959137 65655910 72221501 91918274 131311820 144443002 183836548 229795685 288886004 361107505 459591370 505550507 722215010 919182740 1011101014 1444430020 2022202028 2527752535 5055505070 10111010140