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11210502040 = 2354718233271
BaseRepresentation
bin10100111000011001…
…01010111110011000
31001221021112111202021
422130030222332120
5140424342031130
65052223544224
7544543460263
oct123414527630
931837474667
1011210502040
114833044121
12220a45b074
13109871ab7a
14784c27cda
154592c037a
hex29c32af98

11210502040 has 64 divisors (see below), whose sum is σ = 25782312960. Its totient is φ = 4385043840.

The previous prime is 11210501983. The next prime is 11210502041. The reversal of 11210502040 is 4020501211.

11210502040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210502041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3425605 + ... + 3428875.

It is an arithmetic number, because the mean of its divisors is an integer number (402848640).

Almost surely, 211210502040 is an apocalyptic number.

11210502040 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 11210502040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12891156480).

11210502040 is an abundant number, since it is smaller than the sum of its proper divisors (14571810920).

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

11210502040 is a wasteful number, since it uses less digits than its factorization.

11210502040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The spelling of 11210502040 in words is "eleven billion, two hundred ten million, five hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1823 1880 3271 3646 6542 7292 9115 13084 14584 16355 18230 26168 32710 36460 65420 72920 85681 130840 153737 171362 307474 342724 428405 614948 685448 768685 856810 1229896 1537370 1713620 3074740 3427240 5963033 6149480 11926066 23852132 29815165 47704264 59630330 119260660 238521320 280262551 560525102 1121050204 1401312755 2242100408 2802625510 5605251020 11210502040