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101203214321 = 1124141274943
BaseRepresentation
bin101111001000000101…
…1100111111111110001
3100200020000200222000002
41132100023213333301
53124231010324241
6114254144035345
710211624061656
oct1362013477761
9320200628002
10101203214321
1139a13637900
1217744902b55
13970ab8ac91
144c80b89c2d
152974bac89b
hex17902e7ff1

101203214321 has 24 divisors (see below), whose sum is σ = 114003735552. Its totient is φ = 89719044800.

The previous prime is 101203214317. The next prime is 101203214341. The reversal of 101203214321 is 123412302101.

It is not a de Polignac number, because 101203214321 - 22 = 101203214317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101203214293 and 101203214302.

It is not an unprimeable number, because it can be changed into a prime (101203214341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20471576 + ... + 20476518.

It is an arithmetic number, because the mean of its divisors is an integer number (4750155648).

Almost surely, 2101203214321 is an apocalyptic number.

101203214321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101203214321 is a deficient number, since it is larger than the sum of its proper divisors (12800521231).

101203214321 is a wasteful number, since it uses less digits than its factorization.

101203214321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9133 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101203214321 its reverse (123412302101), we get a palindrome (224615516422).

The spelling of 101203214321 in words is "one hundred one billion, two hundred three million, two hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 11 41 121 451 4127 4943 4961 45397 54373 169207 202663 499367 598103 1861277 2229293 20399761 20474047 24522223 224397371 836390201 2468371081 9200292211 101203214321