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21110202102 = 231123101157877
BaseRepresentation
bin10011101010010001…
…000001111011110110
32000111012120101020010
4103222101001323312
5321213202431402
613410424521050
71345062520503
oct235221017366
960435511203
1021110202102
118a53182320
124111920186
131cb56bb162
14104391c4aa
15838469a6c
hex4ea441ef6

21110202102 has 128 divisors (see below), whose sum is σ = 48901874688. Its totient is φ = 6012864000.

The previous prime is 21110202101. The next prime is 21110202109. The reversal of 21110202102 is 20120201112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110202101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24070488 + ... + 24071364.

It is an arithmetic number, because the mean of its divisors is an integer number (382045896).

Almost surely, 221110202102 is an apocalyptic number.

21110202102 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 21110202102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24450937344).

21110202102 is an abundant number, since it is smaller than the sum of its proper divisors (27791672586).

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

21110202102 is a wasteful number, since it uses less digits than its factorization.

21110202102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21110202102 its reverse (20120201112), we get a palindrome (41230403214).

The spelling of 21110202102 in words is "twenty-one billion, one hundred ten million, two hundred two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 101 138 157 202 253 303 314 471 506 606 759 877 942 1111 1518 1727 1754 2222 2323 2631 3333 3454 3611 4646 5181 5262 6666 6969 7222 9647 10362 10833 13938 15857 19294 20171 21666 25553 28941 31714 39721 40342 47571 51106 57882 60513 76659 79442 88577 95142 119163 121026 137689 153318 174427 177154 221881 238326 265731 275378 348854 364711 413067 443762 523281 531462 665643 729422 826134 974347 1046562 1094133 1331286 1514579 1948694 2037271 2188266 2923041 3029158 3166847 4011821 4074542 4543737 5846082 6111813 6333694 8023642 9087474 9500541 12035463 12223626 13906589 19001082 22409981 24070926 27813178 34835317 41719767 44819962 67229943 69670634 83439534 104505951 134459886 152972479 209011902 305944958 319851547 458917437 639703094 917834874 959554641 1919109282 3518367017 7036734034 10555101051 21110202102