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21022102002 = 23114753127867
BaseRepresentation
bin10011100101000000…
…111101000111110010
32000021001210102121110
4103211000331013302
5321023124231002
613354000334150
71342642630056
oct234500750762
960231712543
1021022102002
118a08479420
1240a8314356
131ca0382c15
141035d47c66
15830865e6c
hex4e503d1f2

21022102002 has 64 divisors (see below), whose sum is σ = 47726475264. Its totient is φ = 6117109440.

The previous prime is 21022101983. The next prime is 21022102009. The reversal of 21022102002 is 20020122012.

It is not an unprimeable number, because it can be changed into a prime (21022102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100473 + ... + 228339.

It is an arithmetic number, because the mean of its divisors is an integer number (745726176).

Almost surely, 221022102002 is an apocalyptic number.

21022102002 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 21022102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23863237632).

21022102002 is an abundant number, since it is smaller than the sum of its proper divisors (26704373262).

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

21022102002 is a wasteful number, since it uses less digits than its factorization.

21022102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127983.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21022102002 its reverse (20020122012), we get a palindrome (41042224014).

The spelling of 21022102002 in words is "twenty-one billion, twenty-two million, one hundred two thousand, two".

Divisors: 1 2 3 6 11 22 33 47 53 66 94 106 141 159 282 318 517 583 1034 1166 1551 1749 2491 3102 3498 4982 7473 14946 27401 54802 82203 127867 164406 255734 383601 767202 1406537 2813074 4219611 6009749 6776951 8439222 12019498 13553902 18029247 20330853 36058494 40661706 66107239 74546461 132214478 149092922 198321717 223639383 318516697 396643434 447278766 637033394 955550091 1911100182 3503683667 7007367334 10511051001 21022102002