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20102220112212 = 223273711171930139
BaseRepresentation
bin1001001001000011010011…
…01100000110000101010100
32122011202100021122020022200
410210201221230012011110
510113323321322042322
6110430455445524500
74143223516443510
oct444415154060524
978152307566280
1020102220112212
11645033820a317
122307b40a13730
13b2a828a47334
144d6d4a0b3140
1524cd88e618ac
hex124869b06154

20102220112212 has 144 divisors (see below), whose sum is σ = 59696049329280. Its totient is φ = 5583256148736.

The previous prime is 20102220112189. The next prime is 20102220112213. The reversal of 20102220112212 is 21221102220102.

It is a happy number.

20102220112212 is a `hidden beast` number, since 20 + 102 + 220 + 112 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102220112213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9449839 + ... + 11379977.

It is an arithmetic number, because the mean of its divisors is an integer number (414555898120).

Almost surely, 220102220112212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102220112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29848024664640).

20102220112212 is an abundant number, since it is smaller than the sum of its proper divisors (39593829217068).

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

20102220112212 is a wasteful number, since it uses less digits than its factorization.

20102220112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931310 (or 1931305 counting only the distinct ones).

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

Adding to 20102220112212 its reverse (21221102220102), we get a palindrome (41323322332314).

The spelling of 20102220112212 in words is "twenty trillion, one hundred two billion, two hundred twenty million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1117 1332 1554 2234 2331 3108 3351 4468 4662 6702 7819 9324 10053 13404 15638 20106 23457 31276 40212 41329 46914 70371 82658 93828 123987 140742 165316 247974 281484 289303 371961 495948 578606 743922 867909 1157212 1487844 1735818 1930139 2603727 3471636 3860278 5207454 5790417 7720556 10414908 11580834 13510973 17371251 23161668 27021946 34742502 40532919 54043892 69485004 71415143 81065838 121598757 142830286 162131676 214245429 243197514 285660572 428490858 486395028 499906001 642736287 856981716 999812002 1285472574 1499718003 1999624004 2155965263 2570945148 2999436006 4311930526 4499154009 5998872012 6467895789 8623861052 8998308018 12935791578 15091756841 17996616036 19403687367 25871583156 30183513682 38807374734 45275270523 60367027364 77614749468 79770714731 90550541046 135825811569 159541429462 181101082092 239312144193 271651623138 319082858924 478624288386 543303246276 558395003117 717936432579 957248576772 1116790006234 1435872865158 1675185009351 2233580012468 2871745730316 3350370018702 5025555028053 6700740037404 10051110056106 20102220112212