Search a number
-
+
22221211201002 = 232112102127313659
BaseRepresentation
bin1010000110101110001110…
…11001100110110111101010
32220200022211102012200210100
411003113013121212313222
510403033020031413002
6115132141122530230
74452300220510062
oct503270731466752
986608742180710
1022221211201002
117097a65465300
1225aa752806976
13c525b3458788
1456b725cbc3a2
1528805855311c
hex1435c7666dea

22221211201002 has 144 divisors (see below), whose sum is σ = 53006475019680. Its totient is φ = 6722804088000.

The previous prime is 22221211200977. The next prime is 22221211201003. The reversal of 22221211201002 is 20010211212222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22221211201003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6073026649 + ... + 6073030307.

It is an arithmetic number, because the mean of its divisors is an integer number (368100520970).

Almost surely, 222221211201002 is an apocalyptic number.

22221211201002 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 22221211201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26503237509840).

22221211201002 is an abundant number, since it is smaller than the sum of its proper divisors (30785263818678).

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

22221211201002 is a wasteful number, since it uses less digits than its factorization.

22221211201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7441 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22221211201002 its reverse (20010211212222), we get a palindrome (42231422413224).

The spelling of 22221211201002 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred eleven million, two hundred one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1021 1089 2042 2178 2731 3063 3659 5462 6126 7318 8193 9189 10977 11231 16386 18378 21954 22462 24579 30041 32931 33693 40249 49158 60082 65862 67386 80498 90123 101079 120747 123541 180246 202158 241494 247082 270369 330451 362241 370623 442739 540738 660902 724482 741246 885478 991353 1111869 1328217 1982706 2223738 2656434 2788351 2974059 3735839 3984651 5576702 5948118 7471678 7969302 8365053 9992729 11207517 16730106 19985458 22415034 25095159 29978187 30671861 33622551 41094229 50190318 59956374 61343722 67245102 82188458 89934561 92015583 109920019 123282687 179869122 184031166 219840038 246565374 276046749 329760057 337390471 369848061 452036519 552093498 659520114 674780942 739696122 904073038 989280171 1012171413 1209120209 1356109557 1978560342 2024342826 2418240418 2712219114 3036514239 3627360627 4068328671 6073028478 7254721254 8136657342 10202576309 10882081881 20405152618 21764163762 30607728927 61215457854 91823186781 112228339399 183646373562 224456678798 336685018197 673370036394 1010055054591 1234511733389 2020110109182 2469023466778 3703535200167 7407070400334 11110605600501 22221211201002