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20111220000102 = 23711533832144479
BaseRepresentation
bin1001001001010100000100…
…00111111100010101100110
32122012121120111111220112210
410210222002013330111212
510114000234310000402
6110434544504424250
74143662531306640
oct444520207742546
978177514456483
1020111220000102
1164541364342a0
122309832a78086
13b2b63148859a
144d7561499890
1524d21411a06c
hex124a821fc566

20111220000102 has 128 divisors (see below), whose sum is σ = 51227063746560. Its totient is φ = 5111749319040.

The previous prime is 20111220000083. The next prime is 20111220000121. The reversal of 20111220000102 is 20100002211102.

It is an interprime number because it is at equal distance from previous prime (20111220000083) and next prime (20111220000121).

It is a super-2 number, since 2×201112200001022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8305899 + ... + 10450377.

It is an arithmetic number, because the mean of its divisors is an integer number (400211435520).

Almost surely, 220111220000102 is an apocalyptic number.

20111220000102 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 20111220000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613531873280).

20111220000102 is an abundant number, since it is smaller than the sum of its proper divisors (31115843746458).

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

20111220000102 is a wasteful number, since it uses less digits than its factorization.

20111220000102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144938.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20111220000102 its reverse (20100002211102), we get a palindrome (40211222211204).

The spelling of 20111220000102 in words is "twenty trillion, one hundred eleven billion, two hundred twenty million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 154 159 231 318 371 383 462 583 742 766 1113 1149 1166 1749 2226 2298 2681 3498 4081 4213 5362 8043 8162 8426 12243 12639 16086 20299 24486 25278 29491 40598 58982 60897 88473 121794 142093 176946 223289 284186 426279 446578 669867 852558 1339734 1563023 2144479 3126046 4288958 4689069 6433437 9378138 12866874 15011353 23589269 30022706 45034059 47178538 70767807 90068118 113657387 141535614 165124883 227314774 330249766 340972161 495374649 681944322 795601709 821335457 990749298 1250231257 1591203418 1642670914 2386805127 2464006371 2500462514 3750693771 4773610254 4928012742 5749348199 7501387542 8751618799 9034690027 11498696398 17248044597 17503237598 18069380054 26254856397 27104070081 34496089194 43530779221 52509712794 54208140162 63242830189 87061558442 126485660378 130592337663 189728490567 261184675326 304715454547 379456981134 478838571431 609430909094 914146363641 957677142862 1436515714293 1828292727282 2873031428586 3351870000017 6703740000034 10055610000051 20111220000102