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100224410321 = 732959170777
BaseRepresentation
bin101110101010111010…
…1110010001011010001
3100120200210220120100002
41131111311302023101
53120224422112241
6114013100535345
710145440301000
oct1352565621321
9316623816302
10100224410321
1139561080982
1217510b51555
1395b3162709
144bcab98c37
152918cb689b
hex1755d722d1

100224410321 has 32 divisors (see below), whose sum is σ = 122960160000. Its totient is φ = 81538025856.

The previous prime is 100224410309. The next prime is 100224410369. The reversal of 100224410321 is 123014422001.

It is a de Polignac number, because none of the positive numbers 2k-100224410321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100224410293 and 100224410302.

It is not an unprimeable number, because it can be changed into a prime (100224410521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501485 + ... + 672261.

It is an arithmetic number, because the mean of its divisors is an integer number (3842505000).

Almost surely, 2100224410321 is an apocalyptic number.

It is an amenable number.

100224410321 is a deficient number, since it is larger than the sum of its proper divisors (22735749679).

100224410321 is an equidigital number, since it uses as much as digits as its factorization.

100224410321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170886 (or 170872 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100224410321 its reverse (123014422001), we get a palindrome (223238832322).

The spelling of 100224410321 in words is "one hundred billion, two hundred twenty-four million, four hundred ten thousand, three hundred twenty-one".

Divisors: 1 7 29 49 59 203 343 413 1421 1711 2891 9947 11977 20237 83839 170777 586873 1195439 4952533 8368073 10075843 34667731 58576511 70530901 242674117 292199447 493716307 1698718819 2045396129 3456014149 14317772903 100224410321