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10011111100140 = 22351901805910891
BaseRepresentation
bin1001000110101110010010…
…1110001000111011101100
31022110001102112201121210210
42101223210232020323230
52303010223420201030
633143012502302420
72052164444213253
oct221534456107354
938401375647723
1010011111100140
11320a763255007
121158278a27a10
135780750b1ba7
1426877ca7d79a
1512562a62abb0
hex91ae4b88eec

10011111100140 has 96 divisors (see below), whose sum is σ = 28051912062720. Its totient is φ = 2667649248000.

The previous prime is 10011111100103. The next prime is 10011111100141. The reversal of 10011111100140 is 4100111111001.

10011111100140 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 2×100111111001402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10011111100141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919204095 + ... + 919214985.

It is an arithmetic number, because the mean of its divisors is an integer number (292207417320).

Almost surely, 210011111100140 is an apocalyptic number.

10011111100140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011111100140 is an abundant number, since it is smaller than the sum of its proper divisors (18040800962580).

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

10011111100140 is a wasteful number, since it uses less digits than its factorization.

10011111100140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20863 (or 20861 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10011111100140 its reverse (4100111111001), we get a palindrome (14111222211141).

The spelling of 10011111100140 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1901 3802 5703 7604 8059 9505 10891 11406 16118 19010 21782 22812 24177 28515 32236 32673 38020 40295 43564 48354 54455 57030 65346 80590 96708 108910 114060 120885 130692 161180 163365 217820 241770 326730 483540 653460 15320159 20703791 30640318 41407582 45960477 61280636 62111373 76600795 82815164 87770569 91920954 103518955 124222746 153201590 175541138 183841908 207037910 229802385 248445492 263311707 306403180 310556865 351082276 414075820 438852845 459604770 526623414 621113730 877705690 919209540 1053246828 1242227460 1316558535 1755411380 2633117070 5266234140 166851851669 333703703338 500555555007 667407406676 834259258345 1001111110014 1668518516690 2002222220028 2502777775035 3337037033380 5005555550070 10011111100140