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21102200310 = 235236128219
BaseRepresentation
bin10011101001110010…
…100000010111110110
32000110122111211211110
4103221302200113312
5321204130402220
613405541215450
71344634512612
oct235162402766
960418454743
1021102200310
118a49707474
12410b101586
131cb3b48c79
141042838342
158378d8be0
hex4e9ca05f6

21102200310 has 96 divisors (see below), whose sum is σ = 53734337280. Its totient is φ = 5293706880.

The previous prime is 21102200303. The next prime is 21102200429. The reversal of 21102200310 is 1300220112.

It is a super-2 number, since 2×211022003102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2563381 + ... + 2571599.

It is an arithmetic number, because the mean of its divisors is an integer number (559732680).

Almost surely, 221102200310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102200310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26867168640).

21102200310 is an abundant number, since it is smaller than the sum of its proper divisors (32632136970).

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

21102200310 is a wasteful number, since it uses less digits than its factorization.

21102200310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8374 (or 8313 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21102200310 its reverse (1300220112), we get a palindrome (22402420422).

The spelling of 21102200310 in words is "twenty-one billion, one hundred two million, two hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 61 69 115 122 138 183 230 305 345 366 610 690 915 1403 1830 2806 3721 4209 7015 7442 8219 8418 11163 14030 16438 18605 21045 22326 24657 37210 41095 42090 49314 55815 82190 85583 111630 123285 171166 189037 246570 256749 378074 427915 501359 513498 567111 855830 945185 1002718 1134222 1283745 1504077 1890370 2506795 2567490 2835555 3008154 5013590 5671110 7520385 11531257 15040770 23062514 30582899 34593771 57656285 61165798 69187542 91748697 115312570 152914495 172968855 183497394 305828990 345937710 458743485 703406677 917486970 1406813354 2110220031 3517033385 4220440062 7034066770 10551100155 21102200310