Search a number
-
+
100122113301102 = 232157153492308223
BaseRepresentation
bin10110110000111101111110…
…111111110101101001101110
3111010111120200020000221220100
4112300331332333311221232
5101110400042001113402
6552535244110331530
730042404206110324
oct2660757677655156
9433446606027810
10100122113301102
11299a1605864732
12b2904051b9ba6
1343b36230c7429
141aa1d16aa7d14
15b8961506871c
hex5b0f7eff5a6e

100122113301102 has 48 divisors (see below), whose sum is σ = 218327291020800. Its totient is φ = 33159289415616.

The previous prime is 100122113301101. The next prime is 100122113301127. The reversal of 100122113301102 is 201103311221001.

100122113301102 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 221 + 1 + 330 + 110 + 2 = 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 (100122113301101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42222163 + ... + 44530385.

It is an arithmetic number, because the mean of its divisors is an integer number (4548485229600).

Almost surely, 2100122113301102 is an apocalyptic number.

100122113301102 is an abundant number, since it is smaller than the sum of its proper divisors (118205177719698).

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

100122113301102 is a wasteful number, since it uses less digits than its factorization.

100122113301102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323737 (or 2323734 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100122113301102 its reverse (201103311221001), we get a palindrome (301225424522103).

The spelling of 100122113301102 in words is "one hundred trillion, one hundred twenty-two billion, one hundred thirteen million, three hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2826 15349 30698 46047 92094 138141 276282 2308223 2409793 4616446 4819586 6924669 7229379 13849338 14458758 20774007 21688137 41548014 43376274 362391011 724782022 1087173033 2174346066 3261519099 6523038198 35428914827 70857829654 106286744481 212573488962 318860233443 637720466886 5562339627839 11124679255678 16687018883517 33374037767034 50061056650551 100122113301102