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2102413302 = 2321123509907
BaseRepresentation
bin111110101010000…
…0100011111110110
312102112001122212100
41331110010133312
513301204211202
6544342002530
7103046134563
oct17524043766
95375048770
102102413302
11989837260
124a8116446
13276754452
1415d31786a
15c489241c
hex7d5047f6

2102413302 has 96 divisors (see below), whose sum is σ = 5201314560. Its totient is φ = 607527360.

The previous prime is 2102413277. The next prime is 2102413303. The reversal of 2102413302 is 2033142012.

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 (2102413303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2317533 + ... + 2318439.

It is an arithmetic number, because the mean of its divisors is an integer number (54180360).

Almost surely, 22102413302 is an apocalyptic number.

2102413302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102413302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600657280).

2102413302 is an abundant number, since it is smaller than the sum of its proper divisors (3098901258).

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

2102413302 is a wasteful number, since it uses less digits than its factorization.

2102413302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1455 counting only the distinct ones).

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

The square root of 2102413302 is about 45852.0806725278. The cubic root of 2102413302 is about 1281.0695207312.

Adding to 2102413302 its reverse (2033142012), we get a palindrome (4135555314).

The spelling of 2102413302 in words is "two billion, one hundred two million, four hundred thirteen thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 509 759 907 1018 1518 1527 1814 2277 2721 3054 4554 4581 5442 5599 8163 9162 9977 11198 11707 16326 16797 19954 20861 23414 29931 33594 35121 41722 50391 59862 62583 70242 89793 100782 105363 125166 128777 179586 187749 210726 229471 257554 375498 386331 458942 461663 688413 772662 923326 1158993 1376826 1384989 2065239 2317986 2769978 4130478 4154967 5078293 8309934 10156586 10618249 15234879 21236498 30469758 31854747 45704637 63709494 91409274 95564241 116800739 191128482 233601478 350402217 700804434 1051206651 2102413302