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100233414333 = 3313285565283
BaseRepresentation
bin101110101011001100…
…0001000011010111101
3100120201102212000112000
41131112120020122331
53120234223224313
6114014021532513
710145606651523
oct1352630103275
9316642760460
10100233414333
1139566170808
1217513b74139
1395b4c95b30
144bcc060313
152919994673
hex17566086bd

100233414333 has 16 divisors (see below), whose sum is σ = 159916559040. Its totient is φ = 61682100912.

The previous prime is 100233414331. The next prime is 100233414361. The reversal of 100233414333 is 333414332001.

100233414333 is a `hidden beast` number, since 10 + 0 + 233 + 414 + 3 + 3 + 3 = 666.

It is not a de Polignac number, because 100233414333 - 21 = 100233414331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100233414297 and 100233414306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100233414331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142782291 + ... + 142782992.

It is an arithmetic number, because the mean of its divisors is an integer number (9994784940).

Almost surely, 2100233414333 is an apocalyptic number.

100233414333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100233414333 is a deficient number, since it is larger than the sum of its proper divisors (59683144707).

100233414333 is a wasteful number, since it uses less digits than its factorization.

100233414333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285565305 (or 285565299 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 100233414333 its reverse (333414332001), we get a palindrome (433647746334).

The spelling of 100233414333 in words is "one hundred billion, two hundred thirty-three million, four hundred fourteen thousand, three hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 351 285565283 856695849 2570087547 3712348679 7710262641 11137046037 33411138111 100233414333