Search a number
-
+
21221002122222 = 23719367479151273
BaseRepresentation
bin1001101001100111001100…
…10010110001001111101110
32210010201010010100222010210
410310303212102301033232
510240141103020402342
6113044443243043250
74320111133561650
oct464634622611756
983121103328123
1021221002122222
11684185a516431
122468932810526
13bac193a774a6
1453515dbac6d0
1526c01878c79c
hex134ce64b13ee

21221002122222 has 128 divisors (see below), whose sum is σ = 51304395571200. Its totient is φ = 5716382512896.

The previous prime is 21221002122217. The next prime is 21221002122227. The reversal of 21221002122222 is 22222120012212.

It is an interprime number because it is at equal distance from previous prime (21221002122217) and next prime (21221002122227).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221002122227) 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, 140207178 + ... + 140358450.

It is an arithmetic number, because the mean of its divisors is an integer number (400815590400).

Almost surely, 221221002122222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221002122222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25652197785600).

21221002122222 is an abundant number, since it is smaller than the sum of its proper divisors (30083393448978).

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

21221002122222 is a wasteful number, since it uses less digits than its factorization.

21221002122222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152150.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 21221002122222 its reverse (22222120012212), we get a palindrome (43443122134434).

The spelling of 21221002122222 in words is "twenty-one trillion, two hundred twenty-one billion, two million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 367 399 479 734 798 958 1101 1437 2202 2569 2874 3353 5138 6706 6973 7707 9101 10059 13946 15414 18202 20118 20919 27303 41838 48811 54606 63707 97622 127414 146433 151273 175793 191121 292866 302546 351586 382242 453819 527379 907638 1054758 1058911 1230551 2117822 2461102 2874187 3176733 3340067 3691653 5748374 6353466 6680134 7383306 8622561 10020201 17245122 20040402 20119309 23380469 40238618 46760938 55517191 60357927 70141407 72459767 111034382 120715854 140282814 144919534 166551573 217379301 333103146 388620337 434758602 507218369 777240674 1014436738 1054826629 1165861011 1376735573 1521655107 2109653258 2331722022 2753471146 3043310214 3164479887 4130206719 6328959774 7383786403 8260413438 9637149011 14767572806 19274298022 22151359209 26592734489 28911447033 44302718418 53185468978 57822894066 79778203467 159556406934 186149141423 372298282846 505261955291 558447424269 1010523910582 1116894848538 1515785865873 3031571731746 3536833687037 7073667374074 10610501061111 21221002122222