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1310101311020 = 2251923251148279
BaseRepresentation
bin10011000100001000000…
…111111000111000101100
311122020121012202012221112
4103010020013320320230
5132431041413423040
62441504025451152
7163436350255625
oct23041007707054
94566535665845
101310101311020
1146567a043717
12191aa6340ab8
1396707a97058
14475a2d60a4c
152412ab46365
hex131081f8e2c

1310101311020 has 48 divisors (see below), whose sum is σ = 2896157510400. Its totient is φ = 496434744000.

The previous prime is 1310101310989. The next prime is 1310101311023. The reversal of 1310101311020 is 201131010131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1310101310986 and 1310101311004.

It is not an unprimeable number, because it can be changed into a prime (1310101311023) by changing a digit.

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, 8761241 + ... + 8909519.

It is an arithmetic number, because the mean of its divisors is an integer number (60336614800).

Almost surely, 21310101311020 is an apocalyptic number.

1310101311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310101311020 is an abundant number, since it is smaller than the sum of its proper divisors (1586056199380).

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

1310101311020 is a wasteful number, since it uses less digits than its factorization.

1310101311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171558 (or 171556 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1310101311020 its reverse (201131010131), we get a palindrome (1511232321151).

The spelling of 1310101311020 in words is "one trillion, three hundred ten billion, one hundred one million, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 23251 46502 93004 116255 148279 232510 296558 441769 465020 593116 741395 883538 1482790 1767076 2208845 2817301 2965580 4417690 5634602 8835380 11269204 14086505 28173010 56346020 3447635029 6895270058 13790540116 17238175145 34476350290 65505065551 68952700580 131010131102 262020262204 327525327755 655050655510 1310101311020