Search a number
-
+
100311001032 = 233113710269349
BaseRepresentation
bin101110101101100000…
…0000110011111001000
3100120220211211211110110
41131123000012133020
53120414104013112
6114025432514320
710150541304024
oct1353300063710
9316824754413
10100311001032
11395a5a43850
1217535b4b9a0
1395c808c918
144bd8499384
1529216bd13c
hex175b0067c8

100311001032 has 64 divisors (see below), whose sum is σ = 280969416000. Its totient is φ = 29575722240.

The previous prime is 100311001001. The next prime is 100311001067. The reversal of 100311001032 is 230100113001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100311000999 and 100311001017.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5124907 + ... + 5144442.

It is an arithmetic number, because the mean of its divisors is an integer number (4390147125).

Almost surely, 2100311001032 is an apocalyptic number.

100311001032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100311001032 is an abundant number, since it is smaller than the sum of its proper divisors (180658414968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100311001032 is a wasteful number, since it uses less digits than its factorization.

100311001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10269406 (or 10269402 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100311001032 its reverse (230100113001), we get a palindrome (330411114033).

The spelling of 100311001032 in words is "one hundred billion, three hundred eleven million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 10269349 20538698 30808047 41077396 61616094 82154792 112962839 123232188 225925678 246464376 338888517 379965913 451851356 677777034 759931826 903702712 1139897739 1355554068 1519863652 2279795478 2711108136 3039727304 4179625043 4559590956 8359250086 9119181912 12538875129 16718500172 25077750258 33437000344 50155500516 100311001032