Search a number
-
+
21122012100002 = 21123478310700617
BaseRepresentation
bin1001100110101110110100…
…00001110011010110100010
32202210020121100011210221112
410303113122001303112202
510232030340044200002
6112531152435223322
74310005102352042
oct463273201632642
982706540153845
1021122012100002
1168038821a9610
122451707147b42
13ba2a49589648
1453044cd35722
15269673055852
hex1335da0735a2

21122012100002 has 64 divisors (see below), whose sum is σ = 37277186494464. Its totient is φ = 8879799181440.

The previous prime is 21122012099963. The next prime is 21122012100053. The reversal of 21122012100002 is 20000121022112.

It is a super-2 number, since 2×211220121000022 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21122012100002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3376403 + ... + 7324214.

It is an arithmetic number, because the mean of its divisors is an integer number (582456038976).

Almost surely, 221122012100002 is an apocalyptic number.

21122012100002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21122012100002 is a deficient number, since it is larger than the sum of its proper divisors (16155174394462).

21122012100002 is a wasteful number, since it uses less digits than its factorization.

21122012100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10700783.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21122012100002 its reverse (20000121022112), we get a palindrome (41122133122114).

The spelling of 21122012100002 in words is "twenty-one trillion, one hundred twenty-two billion, twelve million, one hundred thousand, two".

Divisors: 1 2 11 22 23 46 47 83 94 166 253 506 517 913 1034 1081 1826 1909 2162 3818 3901 7802 11891 20999 23782 41998 42911 85822 89723 179446 986953 1973906 10700617 21401234 117706787 235413574 246114191 492228382 502928999 888151211 1005857998 1776302422 2707256101 5414512202 5532218989 9769663321 11064437978 11567366977 19539326642 20427477853 23134733954 40854955706 41743106917 83486213834 127241036747 224702256383 254482073494 449404512766 459174176087 918348352174 960091459091 1920182918182 10561006050001 21122012100002