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100311330020 = 225112915722779
BaseRepresentation
bin101110101101100000…
…1010110110011100100
3100120220212110112202012
41131123001112303210
53120414200030040
6114025443533352
710150544144126
oct1353301266344
9316825415665
10100311330020
11395a6148a40
121753608a258
1395c81765a5
144bd8543216
152921735865
hex175b056ce4

100311330020 has 48 divisors (see below), whose sum is σ = 237728433600. Its totient is φ = 35219022720.

The previous prime is 100311330001. The next prime is 100311330029. The reversal of 100311330020 is 20033113001.

It is a junction number, because it is equal to n+sod(n) for n = 100311329977 and 100311330004.

It is not an unprimeable number, because it can be changed into a prime (100311330029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7855010 + ... + 7867769.

It is an arithmetic number, because the mean of its divisors is an integer number (4952675700).

Almost surely, 2100311330020 is an apocalyptic number.

100311330020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100311330020 is an abundant number, since it is smaller than the sum of its proper divisors (137417103580).

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

100311330020 is a wasteful number, since it uses less digits than its factorization.

100311330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15722828 (or 15722826 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100311330020 its reverse (20033113001), we get a palindrome (120344443021).

The spelling of 100311330020 in words is "one hundred billion, three hundred eleven million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 15722779 31445558 62891116 78613895 157227790 172950569 314455580 345901138 455960591 691802276 864752845 911921182 1729505690 1823842364 2279802955 3459011380 4559605910 5015566501 9119211820 10031133002 20062266004 25077832505 50155665010 100311330020