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100320223332 = 22377117397231
BaseRepresentation
bin101110101101110001…
…1010010000001100100
3100120221111012101002010
41131123203102001210
53120423434121312
6114030402314220
710151012554140
oct1353343220144
9316844171063
10100320223332
113960017268a
1217539058970
1395c9c6b4c4
144bd97ba220
1529223e093c
hex175b8d2064

100320223332 has 96 divisors (see below), whose sum is σ = 272859439104. Its totient is φ = 28095580800.

The previous prime is 100320223303. The next prime is 100320223337. The reversal of 100320223332 is 233322023001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100320223299 and 100320223308.

It is not an unprimeable number, because it can be changed into a prime (100320223337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983157 + ... + 1080387.

It is an arithmetic number, because the mean of its divisors is an integer number (2842285824).

Almost surely, 2100320223332 is an apocalyptic number.

100320223332 is a gapful number since it is divisible by the number (12) 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 100320223332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136429719552).

100320223332 is an abundant number, since it is smaller than the sum of its proper divisors (172539215772).

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

100320223332 is a wasteful number, since it uses less digits than its factorization.

100320223332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97489 (or 97487 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 100320223332 its reverse (233322023001), we get a palindrome (333642246333).

The spelling of 100320223332 in words is "one hundred billion, three hundred twenty million, two hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 173 213 284 346 426 497 519 692 852 994 1038 1211 1491 1988 2076 2422 2982 3633 4844 5964 7266 12283 14532 24566 36849 49132 73698 85981 97231 147396 171962 194462 257943 291693 343924 388924 515886 583386 680617 1031772 1166772 1361234 2041851 2722468 4083702 6903401 8167404 13806802 16820963 20710203 27613604 33641926 41420406 48323807 50462889 67283852 82840812 96647614 100925778 117746741 144971421 193295228 201851556 235493482 289942842 353240223 470986964 579885684 706480446 1194288373 1412960892 2388576746 3582865119 4777153492 7165730238 8360018611 14331460476 16720037222 25080055833 33440074444 50160111666 100320223332