Search a number
-
+
100220121222111 = 32111272497955461
BaseRepresentation
bin10110110010011001010000…
…101110011000101111011111
3111010211221122120020012111200
4112302121100232120233133
5101114001302013101421
6553052253232250543
730052444013514342
oct2662312056305737
9433757576205450
10100220121222111
1129a2a129773360
12b2a73b79a0a53
1343bc941ca3cb7
141aa6973332459
15b8be4e457726
hex5b2650b98bdf

100220121222111 has 24 divisors (see below), whose sum is σ = 157923876162000. Its totient is φ = 60738982444800.

The previous prime is 100220121222083. The next prime is 100220121222113. The reversal of 100220121222111 is 111222121022001.

100220121222111 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 1 + 212 + 221 + 11 = 666.

It is not a de Polignac number, because 100220121222111 - 215 = 100220121189343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220121222113) 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, 8619921 + ... + 16575381.

It is an arithmetic number, because the mean of its divisors is an integer number (6580161506750).

Almost surely, 2100220121222111 is an apocalyptic number.

100220121222111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100220121222111 is a deficient number, since it is larger than the sum of its proper divisors (57703754939889).

100220121222111 is a wasteful number, since it uses less digits than its factorization.

100220121222111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082727 (or 8082724 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100220121222111 its reverse (111222121022001), we get a palindrome (211442242244112).

The spelling of 100220121222111 in words is "one hundred trillion, two hundred twenty billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred eleven".

Divisors: 1 3 9 11 33 99 127249 381747 1145241 1399739 4199217 7955461 12597651 23866383 71599149 87510071 262530213 787590639 1012324456789 3036973370367 9110920111101 11135569024679 33406707074037 100220121222111