Search a number
-
+
100120003230031 = 2383371914102261
BaseRepresentation
bin10110110000111100000001…
…001110100011100101001111
3111010111101020011120020112221
4112300330001032203211033
5101110331231311330111
6552534254452240211
730042301004566531
oct2660740116434517
9433441204506487
10100120003230031
11299a0722778044
12b28bb16610067
1343b3377bc1575
141aa1b96759851
15b8953ebb2371
hex5b0f013a394f

100120003230031 has 16 divisors (see below), whose sum is σ = 105760195914240. Its totient is φ = 94587693634720.

The previous prime is 100120003230029. The next prime is 100120003230103. The reversal of 100120003230031 is 130032300021001.

It is a cyclic number.

It is not a de Polignac number, because 100120003230031 - 21 = 100120003230029 is a prime.

It is a super-2 number, since 2×1001200032300312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100120003229987 and 100120003230014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120003230011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48441 + ... + 14150701.

It is an arithmetic number, because the mean of its divisors is an integer number (6610012244640).

Almost surely, 2100120003230031 is an apocalyptic number.

100120003230031 is a deficient number, since it is larger than the sum of its proper divisors (5640192684209).

100120003230031 is a wasteful number, since it uses less digits than its factorization.

100120003230031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14106086.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100120003230031 its reverse (130032300021001), we get a palindrome (230152303251032).

The spelling of 100120003230031 in words is "one hundred trillion, one hundred twenty billion, three million, two hundred thirty thousand, thirty-one".

Divisors: 1 23 83 1909 3719 85537 308677 7099571 14102261 324352003 1170487663 26921216249 52446308659 1206265099157 4353043618697 100120003230031