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2321003332100 = 2252532029215833
BaseRepresentation
bin100001110001100110100…
…101000100001000000100
322012212220201020200212002
4201301212211010020010
5301011403323111400
64534130524244432
7326454424543655
oct41614645041004
98185821220762
102321003332100
11815371966392
123159ab3a0718
1313ab3c8a362b
14804a125152c
1540594545ed5
hex21c66944204

2321003332100 has 72 divisors (see below), whose sum is σ = 5134159908360. Its totient is φ = 910431175680.

The previous prime is 2321003332069. The next prime is 2321003332121. The reversal of 2321003332100 is 12333001232.

It can be written as a sum of positive squares in 12 ways, for example, as 6473167936 + 2314530164164 = 80456^2 + 1521358^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10645784 + ... + 10861616.

It is an arithmetic number, because the mean of its divisors is an integer number (71307776505).

Almost surely, 22321003332100 is an apocalyptic number.

2321003332100 is a gapful number since it is divisible by the number (20) 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 2321003332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567079954180).

2321003332100 is an abundant number, since it is smaller than the sum of its proper divisors (2813156576260).

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

2321003332100 is a wasteful number, since it uses less digits than its factorization.

2321003332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217929 (or 217922 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2321003332100 its reverse (12333001232), we get a palindrome (2333336333332).

The spelling of 2321003332100 in words is "two trillion, three hundred twenty-one billion, three million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2029 2650 4058 5300 8116 10145 20290 40580 50725 101450 107537 202900 215074 215833 430148 431666 537685 863332 1075370 1079165 2150740 2158330 2688425 4316660 5376850 5395825 10753700 10791650 11439149 21583300 22878298 45756596 57195745 114391490 228782980 285978725 437925157 571957450 875850314 1143914900 1751700628 2189625785 4379251570 8758503140 10948128925 21896257850 23210033321 43792515700 46420066642 92840133284 116050166605 232100333210 464200666420 580250833025 1160501666050 2321003332100