Search a number
-
+
100312010001 = 3279744936559
BaseRepresentation
bin101110101101100001…
…1111100110100010001
3100120220220202002111200
41131123003330310101
53120414333310001
6114025510301413
710150553005440
oct1353303746421
9316826662450
10100312010001
11395a6572905
1217536357869
1395c8353c48
144bd867cd57
15292181c086
hex175b0fcd11

100312010001 has 48 divisors (see below), whose sum is σ = 167678784000. Its totient is φ = 56602312704.

The previous prime is 100312009961. The next prime is 100312010023. The reversal of 100312010001 is 100010213001.

It is not a de Polignac number, because 100312010001 - 222 = 100307815697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100312010501) 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, 2725560 + ... + 2762118.

It is an arithmetic number, because the mean of its divisors is an integer number (3493308000).

Almost surely, 2100312010001 is an apocalyptic number.

It is an amenable number.

100312010001 is a deficient number, since it is larger than the sum of its proper divisors (67366773999).

100312010001 is a wasteful number, since it uses less digits than its factorization.

100312010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37118 (or 37115 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100312010001 its reverse (100010213001), we get a palindrome (200322223002).

The spelling of 100312010001 in words is "one hundred billion, three hundred twelve million, ten thousand, one".

Divisors: 1 3 7 9 21 63 97 291 449 679 873 1347 2037 3143 4041 6111 9429 28287 36559 43553 109677 130659 255913 304871 329031 391977 767739 914613 2303217 2743839 3546223 10638669 16414991 24823561 31916007 49244973 74470683 114904937 147734919 223412049 344714811 1034144433 1592254127 4776762381 11145778889 14330287143 33437336667 100312010001