Search a number
-
+
100211002011012 = 22319777895442347
BaseRepresentation
bin10110110010010000110001…
…001011010110110110000100
3111010211002010000211021121110
4112302100301023112312010
5101113324113003323022
6553044144312045020
730052002022506144
oct2662206113266604
9433732100737543
10100211002011012
1129a2627a15a062
12b2a5691993770
1343bbb1a914bb9
141aa634a168924
15b8bab8a7e00c
hex5b24312d6d84

100211002011012 has 48 divisors (see below), whose sum is σ = 235042819260480. Its totient is φ = 33229832668032.

The previous prime is 100211002010983. The next prime is 100211002011017. The reversal of 100211002011012 is 210110200112001.

It is a super-2 number, since 2×1002110020110122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100211002011017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15692023 + ... + 21134369.

It is an arithmetic number, because the mean of its divisors is an integer number (4896725401260).

Almost surely, 2100211002011012 is an apocalyptic number.

100211002011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211002011012 is an abundant number, since it is smaller than the sum of its proper divisors (134831817249468).

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

100211002011012 is a wasteful number, since it uses less digits than its factorization.

100211002011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450340 (or 5450338 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100211002011012 its reverse (210110200112001), we get a palindrome (310321202123013).

The spelling of 100211002011012 in words is "one hundred trillion, two hundred eleven billion, two million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 197 394 591 788 1182 2364 7789 15578 23367 31156 46734 93468 1534433 3068866 4603299 5442347 6137732 9206598 10884694 16327041 18413196 21769388 32654082 65308164 1072142359 2144284718 3216427077 4288569436 6432854154 12865708308 42390440783 84780881566 127171322349 169561763132 254342644698 508685289396 8350916834251 16701833668502 25052750502753 33403667337004 50105501005506 100211002011012