Search a number
-
+
100210200111112 = 23713253095438831
BaseRepresentation
bin10110110010010000000001…
…011000010110100000001000
3111010211000001010220112202011
4112302100001120112200020
5101113320442212023422
6553043532544345304
730051643114460440
oct2662200130264010
9433730033815664
10100210200111112
1129a259a8540873
12b2a54a9315234
1343bba20748310
141aa62b1867120
15b8ba6d47e077
hex5b2401616808

100210200111112 has 64 divisors (see below), whose sum is σ = 231263487705600. Its totient is φ = 39642021976320.

The previous prime is 100210200111097. The next prime is 100210200111113. The reversal of 100210200111112 is 211111002012001.

It is a happy number.

It is a super-2 number, since 2×1002102001111122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100210200111092 and 100210200111101.

It is not an unprimeable number, because it can be changed into a prime (100210200111113) 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, 15705537 + ... + 21144367.

It is an arithmetic number, because the mean of its divisors is an integer number (3613491995400).

Almost surely, 2100210200111112 is an apocalyptic number.

It is an amenable number.

100210200111112 is an abundant number, since it is smaller than the sum of its proper divisors (131053287594488).

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

100210200111112 is a wasteful number, since it uses less digits than its factorization.

100210200111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464166 (or 5464162 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100210200111112 its reverse (211111002012001), we get a palindrome (311321202123113).

The spelling of 100210200111112 in words is "one hundred trillion, two hundred ten billion, two hundred million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 25309 50618 101236 177163 202472 329017 354326 658034 708652 1316068 1417304 2303119 2632136 4606238 5438831 9212476 10877662 18424952 21755324 38071817 43510648 70704803 76143634 141409606 152287268 282819212 304574536 494933621 565638424 989867242 1979734484 3959468968 137651373779 275302747558 550605495116 963559616453 1101210990232 1789467859127 1927119232906 3578935718254 3854238465812 7157871436508 7708476931624 12526275013889 14315742873016 25052550027778 50105100055556 100210200111112