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100100333320 = 23513983319577
BaseRepresentation
bin101110100111001110…
…0011101111100001000
3100120101011102210200121
41131032130131330020
53120001141131240
6113552505313024
710142402536321
oct1351634357410
9316334383617
10100100333320
11394a8034aa9
1217497495774
13959353bb80
144bb84db448
15290ce5804a
hex174e71df08

100100333320 has 64 divisors (see below), whose sum is σ = 242587865520. Its totient is φ = 36954476544.

The previous prime is 100100333287. The next prime is 100100333323. The reversal of 100100333320 is 23333001001.

It can be written as a sum of positive squares in 8 ways, for example, as 52268018884 + 47832314436 = 228622^2 + 218706^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100100333294 and 100100333303.

It is not an unprimeable number, because it can be changed into a prime (100100333323) 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, 5103372 + ... + 5122948.

Almost surely, 2100100333320 is an apocalyptic number.

100100333320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100333320 is an abundant number, since it is smaller than the sum of its proper divisors (142487532200).

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

100100333320 is a wasteful number, since it uses less digits than its factorization.

100100333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29434 (or 29430 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 100100333320 its reverse (23333001001), we get a palindrome (123433334321).

The spelling of 100100333320 in words is "one hundred billion, one hundred million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 9833 19577 19666 39154 39332 49165 78308 78664 97885 98330 127829 156616 195770 196660 254501 255658 391540 393320 509002 511316 639145 783080 1018004 1022632 1272505 1278290 2036008 2545010 2556580 5090020 5113160 10180040 192500641 385001282 770002564 962503205 1540005128 1925006410 2502508333 3850012820 5005016666 7700025640 10010033332 12512541665 20020066664 25025083330 50050166660 100100333320