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10101110010 = 23573131137257
BaseRepresentation
bin10010110100001001…
…01011010011111010
3222001222000112222120
421122010223103322
5131141341010020
64350153502110
7505213006215
oct113204532372
928058015876
1010101110010
1143138a4502
121b5aa11936
13c4c92c294
146bb76277c
153e1bd1740
hex25a12b4fa

10101110010 has 128 divisors (see below), whose sum is σ = 25040150784. Its totient is φ = 2607022080.

The previous prime is 10101110009. The next prime is 10101110023. The reversal of 10101110010 is 1001110101.

10101110010 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 (6).

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 63 ways as a sum of consecutive naturals, for example, 39303802 + ... + 39304058.

It is an arithmetic number, because the mean of its divisors is an integer number (195626178).

Almost surely, 210101110010 is an apocalyptic number.

10101110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12520075392).

10101110010 is an abundant number, since it is smaller than the sum of its proper divisors (14939040774).

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

10101110010 is a wasteful number, since it uses less digits than its factorization.

10101110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10101110010 its reverse (1001110101), we get a palindrome (11102220111).

Subtracting from 10101110010 its reverse (1001110101), we obtain a palindrome (9099999909).

The spelling of 10101110010 in words is "ten billion, one hundred one million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 73 131 137 146 219 257 262 274 365 393 411 438 514 655 685 730 771 786 822 1095 1285 1310 1370 1542 1965 2055 2190 2570 3855 3930 4110 7710 9563 10001 17947 18761 19126 20002 28689 30003 33667 35209 35894 37522 47815 50005 53841 56283 57378 60006 67334 70418 89735 93805 95630 100010 101001 105627 107682 112566 143445 150015 168335 176045 179470 187610 202002 211254 269205 281415 286890 300030 336670 352090 505005 528135 538410 562830 1010010 1056270 1310131 2457691 2570257 2620262 3930393 4612379 4915382 5140514 6550655 7373073 7710771 7860786 9224758 12288455 12851285 13101310 13837137 14746146 15421542 19651965 23061895 24576910 25702570 27674274 36865365 38553855 39303930 46123790 69185685 73730730 77107710 138371370 336703667 673407334 1010111001 1683518335 2020222002 3367036670 5050555005 10101110010