Search a number
-
+
21122120210012 = 223115719916993209
BaseRepresentation
bin1001100110101111000000…
…11110001101011001011100
32202210020212212121100222222
410303113200132031121130
510232031100233210022
6112531211300324512
74310010554312423
oct463274036153134
982706785540888
1021122120210012
11680392822a228
1224517373a3738
13ba2a65aac673
1453045d4382ba
1526967c7ad242
hex1335e078d65c

21122120210012 has 96 divisors (see below), whose sum is σ = 38626828800000. Its totient is φ = 10095157163520.

The previous prime is 21122120209997. The next prime is 21122120210027. The reversal of 21122120210012 is 21001202122112.

It is an interprime number because it is at equal distance from previous prime (21122120209997) and next prime (21122120210027).

It is a super-2 number, since 2×211221202100122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6582148664 + ... + 6582151872.

It is an arithmetic number, because the mean of its divisors is an integer number (402362800000).

Almost surely, 221122120210012 is an apocalyptic number.

It is an amenable number.

21122120210012 is a deficient number, since it is larger than the sum of its proper divisors (17504708589988).

21122120210012 is a wasteful number, since it uses less digits than its factorization.

21122120210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21122120210012 its reverse (21001202122112), we get a palindrome (42123322332124).

The spelling of 21122120210012 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty million, two hundred ten thousand, twelve".

Divisors: 1 2 4 31 62 124 157 199 314 398 628 796 1699 3209 3398 4867 6169 6418 6796 9734 12338 12836 19468 24676 31243 52669 62486 99479 105338 124972 198958 210676 266743 338101 397916 503813 533486 638591 676202 968533 1007626 1066972 1277182 1352404 1937066 2015252 2554364 3874132 5452091 8269033 10481131 10904182 15618203 16538066 19796321 20962262 21808364 31236406 33076132 39592642 41924524 53081857 62472812 79185284 100258787 106163714 169014821 200517574 212327428 338029642 401035148 676059284 855978287 1084966109 1645537567 1711956574 2169932218 3108022397 3291075134 3423913148 4339864436 6216044794 6582150268 12432089588 26535326897 33633949379 53070653794 67267898758 106141307588 134535797516 170339679113 340679358226 681358716452 5280530052503 10561060105006 21122120210012