Search a number
-
+
10130122100331 = 324771661510287
BaseRepresentation
bin1001001101101001101001…
…0101000100111001101011
31022212102121121220211121200
42103122122111010321223
52311432442224202311
633313414105135243
72063606604061302
oct223323225047153
938772547824550
1010130122100331
113256184919a12
12117735148a523
13586360410c6c
1427042c8dd439
15128793874556
hex9369a544e6b

10130122100331 has 48 divisors (see below), whose sum is σ = 15177157152768. Its totient is φ = 6506758843200.

The previous prime is 10130122100257. The next prime is 10130122100333. The reversal of 10130122100331 is 13300122103101.

10130122100331 is a `hidden beast` number, since 1 + 0 + 1 + 301 + 22 + 10 + 0 + 331 = 666.

10130122100331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10130122100331 - 215 = 10130122067563 is a prime.

It is a super-2 number, since 2×101301221003312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10130122100333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19596670 + ... + 20106956.

It is an arithmetic number, because the mean of its divisors is an integer number (316190774016).

Almost surely, 210130122100331 is an apocalyptic number.

10130122100331 is a deficient number, since it is larger than the sum of its proper divisors (5047035052437).

10130122100331 is a wasteful number, since it uses less digits than its factorization.

10130122100331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511072 (or 511069 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10130122100331 its reverse (13300122103101), we get a palindrome (23430244203432).

The spelling of 10130122100331 in words is "ten trillion, one hundred thirty billion, one hundred twenty-two million, one hundred thousand, three hundred thirty-one".

Divisors: 1 3 9 47 71 141 213 423 639 661 1983 3337 5949 10011 30033 31067 46931 93201 140793 279603 422379 510287 1530861 2205757 4592583 6617271 19851813 23983489 36230377 71950467 108691131 215851401 326073393 337299707 1011899121 1702827719 3035697363 5108483157 15325449471 15853086229 23948279197 47559258687 71844837591 142677776061 215534512773 1125569122259 3376707366777 10130122100331