Search a number
-
+
101312311020 = 223513112889607
BaseRepresentation
bin101111001011010101…
…1110010111011101100
3100200111121222122112120
41132112223302323230
53124441422423040
6114313042232540
710214420302104
oct1362653627354
9320447878476
10101312311020
1139a6a181868
1217775355750
13972766813b
144c91468204
15297e55c7d0
hex1796af2eec

101312311020 has 48 divisors (see below), whose sum is σ = 285839947008. Its totient is φ = 26810380480.

The previous prime is 101312311013. The next prime is 101312311027. The reversal of 101312311020 is 20113213101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101312311013) and next prime (101312311027).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101312311027) 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 15 ways as a sum of consecutive naturals, for example, 6436944 + ... + 6452663.

It is an arithmetic number, because the mean of its divisors is an integer number (5954998896).

Almost surely, 2101312311020 is an apocalyptic number.

101312311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101312311020 is an abundant number, since it is smaller than the sum of its proper divisors (184527635988).

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

101312311020 is a wasteful number, since it uses less digits than its factorization.

101312311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889750 (or 12889748 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101312311020 its reverse (20113213101), we get a palindrome (121425524121).

The spelling of 101312311020 in words is "one hundred one billion, three hundred twelve million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 12889607 25779214 38668821 51558428 64448035 77337642 128896070 154675284 193344105 257792140 386688210 773376420 1688538517 3377077034 5065615551 6754154068 8442692585 10131231102 16885385170 20262462204 25328077755 33770770340 50656155510 101312311020