Search a number
-
+
10232002221300 = 22325219598362703
BaseRepresentation
bin1001010011100101001011…
…0110111001010011110100
31100020011120211100012222100
42110321102312321103310
52320120120032040200
633432303353502100
72104144360603116
oct224712266712364
940204524305870
1010232002221300
1132954055627a2
121193044a11930
13592b485b3c02
142753355313b6
1512b257b91d00
hex94e52db94f4

10232002221300 has 108 divisors (see below), whose sum is σ = 33759623759680. Its totient is φ = 2584926872640.

The previous prime is 10232002221271. The next prime is 10232002221307. The reversal of 10232002221300 is 312220023201.

10232002221300 is a `hidden beast` number, since 1 + 0 + 2 + 320 + 0 + 22 + 21 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232002221307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 299164252 + ... + 299198451.

Almost surely, 210232002221300 is an apocalyptic number.

10232002221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10232002221300 is an abundant number, since it is smaller than the sum of its proper divisors (23527621538380).

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

10232002221300 is a wasteful number, since it uses less digits than its factorization.

10232002221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598362742 (or 598362732 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10232002221300 its reverse (312220023201), we get a palindrome (10544222244501).

The spelling of 10232002221300 in words is "ten trillion, two hundred thirty-two billion, two million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 17100 598362703 1196725406 1795088109 2393450812 2991813515 3590176218 5385264327 5983627030 7180352436 8975440545 10770528654 11368891357 11967254060 14959067575 17950881090 21541057308 22737782714 26926321635 29918135150 34106674071 35901762180 44877202725 45475565428 53852643270 56844456785 59836270300 68213348142 89754405450 102320022213 107705286540 113688913570 134631608175 136426696284 170533370355 179508810900 204640044426 227377827140 269263216350 284222283925 341066740710 409280088852 511600111065 538526432700 568444567850 682133481420 852666851775 1023200222130 1136889135700 1705333703550 2046400444260 2558000555325 3410667407100 5116001110650 10232002221300