Search a number
-
+
1110012111021 = 3113110117362099
BaseRepresentation
bin10000001001110001111…
…000001010100010101101
310221010010122121201001110
4100021301320022202231
5121141301100023041
62205533231502233
7143124064160412
oct20116170124255
93833118551043
101110012111021
11398831998210
1215b164987979
138089b146118
143ba210a0109
151dd19952516
hex10271e0a8ad

1110012111021 has 64 divisors (see below), whose sum is σ = 1692903628800. Its totient is φ = 640851360000.

The previous prime is 1110012111017. The next prime is 1110012111077. The reversal of 1110012111021 is 1201112100111.

It is not a de Polignac number, because 1110012111021 - 22 = 1110012111017 is a prime.

It is a super-2 number, since 2×11100121110212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1110012110988 and 1110012111006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110012110021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17843830 + ... + 17905928.

It is an arithmetic number, because the mean of its divisors is an integer number (26451619200).

Almost surely, 21110012111021 is an apocalyptic number.

1110012111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1110012111021 is a deficient number, since it is larger than the sum of its proper divisors (582891517779).

1110012111021 is a wasteful number, since it uses less digits than its factorization.

1110012111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62418.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1110012111021 its reverse (1201112100111), we get a palindrome (2311124211132).

It can be divided in two parts, 11100 and 12111021, that added together give a palindrome (12122121).

The spelling of 1110012111021 in words is "one trillion, one hundred ten billion, twelve million, one hundred eleven thousand, twenty-one".

Divisors: 1 3 11 31 33 93 101 173 303 341 519 1023 1111 1903 3131 3333 5363 5709 9393 16089 17473 34441 52419 58993 62099 103323 176979 186297 192203 541663 576609 683089 1624989 1925069 2049267 5775207 5958293 6271999 10743127 17874879 18815997 21175759 32229381 63527277 68991989 118174397 194431969 206975967 333036937 354523191 583295907 999110811 1085055827 2138751659 3255167481 3663406307 6416254977 10990218921 11935614097 33636730637 35806842291 100910191911 370004037007 1110012111021