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131101221020 = 22571185130663
BaseRepresentation
bin111101000011000111…
…1011110000010011100
3110112101200002001212112
41322012033132002130
54121443403033040
6140121014053152
712320544664160
oct1720617360234
9415350061775
10131101221020
1150666248850
12214a964a1b8
13c4940921c3
1464b9844ca0
15362488b365
hex1e863de09c

131101221020 has 48 divisors (see below), whose sum is σ = 343246837248. Its totient is φ = 40862717760.

The previous prime is 131101221019. The next prime is 131101221059. The reversal of 131101221020 is 20122101131.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 131101220986 and 131101221004.

It is a congruent number.

It is an unprimeable number.

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, 42563792 + ... + 42566871.

It is an arithmetic number, because the mean of its divisors is an integer number (7150975776).

Almost surely, 2131101221020 is an apocalyptic number.

131101221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131101221020 is an abundant number, since it is smaller than the sum of its proper divisors (212145616228).

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

131101221020 is a wasteful number, since it uses less digits than its factorization.

131101221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85130690 (or 85130688 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 131101221020 its reverse (20122101131), we get a palindrome (151223322151).

The spelling of 131101221020 in words is "one hundred thirty-one billion, one hundred one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 85130663 170261326 340522652 425653315 595914641 851306630 936437293 1191829282 1702613260 1872874586 2383658564 2979573205 3745749172 4682186465 5959146410 6555061051 9364372930 11918292820 13110122102 18728745860 26220244204 32775305255 65550610510 131101221020