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10840993900 = 22521110792107
BaseRepresentation
bin10100001100010110…
…00111000001101100
31000222112020112212121
422012023013001230
5134200243301100
64551424042324
7532435633132
oct120613070154
930875215777
1010840993900
1146635051a0
1221267633a4
131039cc43b9
1474bb1d752
15436b3151a
hex2862c706c

10840993900 has 72 divisors (see below), whose sum is σ = 25903717056. Its totient is φ = 3905294400.

The previous prime is 10840993883. The next prime is 10840993901. The reversal of 10840993900 is 939904801.

It is a super-3 number, since 3×108409939003 (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10840993901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71647 + ... + 163753.

It is an arithmetic number, because the mean of its divisors is an integer number (359773848).

Almost surely, 210840993900 is an apocalyptic number.

10840993900 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 10840993900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12951858528).

10840993900 is an abundant number, since it is smaller than the sum of its proper divisors (15062723156).

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

10840993900 is a wasteful number, since it uses less digits than its factorization.

10840993900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92239 (or 92232 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The spelling of 10840993900 in words is "ten billion, eight hundred forty million, nine hundred ninety-three thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 275 428 535 550 1070 1100 1177 2140 2354 2675 4708 5350 5885 10700 11770 23540 29425 58850 92107 117700 184214 368428 460535 921070 1013177 1842140 2026354 2302675 4052708 4605350 5065885 9210700 9855449 10131770 19710898 20263540 25329425 39421796 49277245 50658850 98554490 101317700 108409939 197108980 216819878 246386225 433639756 492772450 542049695 985544900 1084099390 2168198780 2710248475 5420496950 10840993900