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100331000440 = 23511435302907
BaseRepresentation
bin101110101110000110…
…0011001001001111000
3100120222020110220111021
41131130030121021320
53120434214003230
6114031425312224
710151203301236
oct1353414311170
9316866426437
10100331000440
1139606263690
1217540795674
1395cc2729a8
144bdadc3956
15292331dc7a
hex175c319278

100331000440 has 64 divisors (see below), whose sum is σ = 251994188160. Its totient is φ = 35635528320.

The previous prime is 100331000423. The next prime is 100331000443. The reversal of 100331000440 is 44000133001.

100331000440 is digitally balanced in base 3, 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 (100331000443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2632534 + ... + 2670373.

It is an arithmetic number, because the mean of its divisors is an integer number (3937409190).

Almost surely, 2100331000440 is an apocalyptic number.

100331000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100331000440 is an abundant number, since it is smaller than the sum of its proper divisors (151663187720).

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

100331000440 is a wasteful number, since it uses less digits than its factorization.

100331000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302972 (or 5302968 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100331000440 its reverse (44000133001), we get a palindrome (144331133441).

The spelling of 100331000440 in words is "one hundred billion, three hundred thirty-one million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 4730 9460 18920 5302907 10605814 21211628 26514535 42423256 53029070 58331977 106058140 116663954 212116280 228025001 233327908 291659885 456050002 466655816 583319770 912100004 1140125005 1166639540 1824200008 2280250010 2333279080 2508275011 4560500020 5016550022 9121000040 10033100044 12541375055 20066200088 25082750110 50165500220 100331000440