Search a number
-
+
21211202012 = 22711137967057
BaseRepresentation
bin10011110000010010…
…010100000111011100
32000202020121201001112
4103300102110013130
5321420031431022
613424433401152
71350430146050
oct236022240734
960666551045
1021211202012
118aa5197020
12413b7091b8
1320005c1b10
1410530cdc60
1584226a8e2
hex4f04941dc

21211202012 has 96 divisors (see below), whose sum is σ = 50470533120. Its totient is φ = 7531729920.

The previous prime is 21211201987. The next prime is 21211202099. The reversal of 21211202012 is 21020211212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 282788 + ... + 349844.

It is an arithmetic number, because the mean of its divisors is an integer number (525734720).

Almost surely, 221211202012 is an apocalyptic number.

21211202012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25235266560).

21211202012 is an abundant number, since it is smaller than the sum of its proper divisors (29259331108).

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

21211202012 is a wasteful number, since it uses less digits than its factorization.

21211202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67171 (or 67169 counting only the distinct ones).

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

Adding to 21211202012 its reverse (21020211212), we get a palindrome (42231413224).

The spelling of 21211202012 in words is "twenty-one billion, two hundred eleven million, two hundred two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 79 91 143 154 158 182 286 308 316 364 553 572 869 1001 1027 1106 1738 2002 2054 2212 3476 4004 4108 6083 7189 11297 12166 14378 22594 24332 28756 45188 67057 79079 134114 158158 268228 316316 469399 737627 871741 938798 1475254 1743482 1877596 2950508 3486964 5163389 5297503 6102187 9589151 10326778 10595006 12204374 19178302 20653556 21190012 24408748 37082521 38356604 58272533 67124057 68867539 74165042 116545066 134248114 137735078 148330084 233090132 268496228 275470156 407907731 482072773 757542929 815815462 964145546 1515085858 1631630924 1928291092 3030171716 5302800503 10605601006 21211202012