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100122212220012 = 223237155348401047
BaseRepresentation
bin10110110000111110000100…
…111001001011110001101100
3111010111120221010011120010200
4112300332010321023301230
5101110400242312020022
6552535302002433500
730042406516650543
oct2660760471136154
9433446833146120
10100122212220012
11299a16566879a4
12b290432362890
1343b363a74cb28
141aa1d25c9715a
15b8961daa7bac
hex5b0f84e4bc6c

100122212220012 has 72 divisors (see below), whose sum is σ = 260094260471136. Its totient is φ = 32451158905344.

The previous prime is 100122212219993. The next prime is 100122212220103. The reversal of 100122212220012 is 210022212221001.

It is a happy number.

100122212220012 is a `hidden beast` number, since 100 + 122 + 212 + 220 + 0 + 12 = 666.

It is a super-2 number, since 2×1001222122200122 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22131928 + ... + 26269119.

Almost surely, 2100122212220012 is an apocalyptic number.

100122212220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122212220012 is an abundant number, since it is smaller than the sum of its proper divisors (159972048251124).

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

100122212220012 is a wasteful number, since it uses less digits than its factorization.

100122212220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48402647 (or 48402642 counting only the distinct ones).

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

Adding to 100122212220012 its reverse (210022212221001), we get a palindrome (310144424441013).

The spelling of 100122212220012 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1553 3106 4659 6212 9318 13977 18636 27954 55908 57461 114922 172383 229844 344766 517149 689532 1034298 2068596 48401047 96802094 145203141 193604188 290406282 435609423 580812564 871218846 1742437692 1790838739 3581677478 5372516217 7163354956 10745032434 16117548651 21490064868 32235097302 64470194604 75166825991 150333651982 225500477973 300667303964 451000955946 676501433919 902001911892 1353002867838 2706005735676 2781172561667 5562345123334 8343517685001 11124690246668 16687035370002 25030553055003 33374070740004 50061106110006 100122212220012