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101323022013 = 3347495116127
BaseRepresentation
bin101111001011101010…
…0101001111010111101
3100200112101010211021000
41132113110221322331
53130002143201023
6114314104000513
710214610322353
oct1362724517275
9320471124230
10101323022013
1139a75228124
1217778a60139
1397299484c5
144c92a557d3
152980476243
hex1797529ebd

101323022013 has 32 divisors (see below), whose sum is σ = 153342443520. Its totient is φ = 66094023600.

The previous prime is 101323021939. The next prime is 101323022033. The reversal of 101323022013 is 310220323101.

It is a de Polignac number, because none of the positive numbers 2k-101323022013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101323022033) 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 31 ways as a sum of consecutive naturals, for example, 6274756 + ... + 6290882.

It is an arithmetic number, because the mean of its divisors is an integer number (4791951360).

Almost surely, 2101323022013 is an apocalyptic number.

It is an amenable number.

101323022013 is a deficient number, since it is larger than the sum of its proper divisors (52019421507).

101323022013 is a wasteful number, since it uses less digits than its factorization.

101323022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21134 (or 21128 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101323022013 its reverse (310220323101), we get a palindrome (411543345114).

The spelling of 101323022013 in words is "one hundred one billion, three hundred twenty-three million, twenty-two thousand, thirteen".

Divisors: 1 3 9 27 47 141 423 1269 4951 14853 16127 44559 48381 133677 145143 232697 435429 698091 757969 2094273 2273907 6282819 6821721 20465163 79844777 239534331 718602993 2155808979 3752704519 11258113557 33774340671 101323022013