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100321320220 = 225112311337261
BaseRepresentation
bin101110101101110011…
…1011101110100011100
3100120221120021002201121
41131123213131310130
53120424224221340
6114030442020324
710151025103102
oct1353347356434
9316846232647
10100321320220
1139600851800
12175394a76a4
1395ca263854
144bd99c3c72
15292255a94a
hex175b9ddd1c

100321320220 has 72 divisors (see below), whose sum is σ = 239038257024. Its totient is φ = 35303664000.

The previous prime is 100321320217. The next prime is 100321320293. The reversal of 100321320220 is 22023123001.

100321320220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100321320194 and 100321320203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593611 + ... + 743650.

It is an arithmetic number, because the mean of its divisors is an integer number (3319975792).

Almost surely, 2100321320220 is an apocalyptic number.

100321320220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100321320220 is an abundant number, since it is smaller than the sum of its proper divisors (138716936804).

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

100321320220 is a wasteful number, since it uses less digits than its factorization.

100321320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337323 (or 1337310 counting only the distinct ones).

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

Adding to 100321320220 its reverse (22023123001), we get a palindrome (122344443221).

The spelling of 100321320220 in words is "one hundred billion, three hundred twenty-one million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 484 605 620 682 1210 1364 1705 2420 3410 3751 6820 7502 15004 18755 37510 75020 1337261 2674522 5349044 6686305 13372610 14709871 26745220 29419742 41455091 58839484 73549355 82910182 147098710 161808581 165820364 207275455 294197420 323617162 414550910 456006001 647234324 809042905 829101820 912012002 1618085810 1824024004 2280030005 3236171620 4560060010 5016066011 9120120020 10032132022 20064264044 25080330055 50160660110 100321320220