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10101311040 = 263541256639
BaseRepresentation
bin10010110100001010…
…11100011001000000
3222001222101202202010
421122011130121000
5131141413423130
64350202052520
7505214504262
oct113205343100
928058352663
1010101311040
114313a21547
121b5aaaa140
13c4c99c932
146bb7b5b32
153e1c210b0
hex25a15c640

10101311040 has 112 divisors (see below), whose sum is σ = 32854026240. Its totient is φ = 2627973120.

The previous prime is 10101311023. The next prime is 10101311041. The reversal of 10101311040 is 4011310101.

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 (10101311041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88960 + ... + 167679.

It is an arithmetic number, because the mean of its divisors is an integer number (293339520).

Almost surely, 210101311040 is an apocalyptic number.

10101311040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101311040 is an abundant number, since it is smaller than the sum of its proper divisors (22752715200).

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

10101311040 is a wasteful number, since it uses less digits than its factorization.

10101311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256700 (or 256690 counting only the distinct ones).

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

Adding to 10101311040 its reverse (4011310101), we get a palindrome (14112621141).

The spelling of 10101311040 in words is "ten billion, one hundred one million, three hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4920 6560 7872 9840 13120 19680 39360 256639 513278 769917 1026556 1283195 1539834 2053112 2566390 3079668 3849585 4106224 5132780 6159336 7699170 8212448 10265560 10522199 12318672 15398340 16424896 20531120 21044398 24637344 30796680 31566597 41062240 42088796 49274688 52610995 61593360 63133194 82124480 84177592 105221990 123186720 126266388 157832985 168355184 210443980 246373440 252532776 315665970 336710368 420887960 505065552 631331940 673420736 841775920 1010131104 1262663880 1683551840 2020262208 2525327760 3367103680 5050655520 10101311040