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1310355120420 = 223259537638773
BaseRepresentation
bin10011000100010111010…
…000000110000100100100
311122021020220100001222200
4103010113100012010210
5132432101402323140
62441545133454500
7163445551515003
oct23042720060444
94567226301880
101310355120420
1146579a339455
12191b57341430
1396748541628
14475c894cc3a
152414307e030
hex13117406124

1310355120420 has 72 divisors (see below), whose sum is σ = 3978915156216. Its totient is φ = 349061325312.

The previous prime is 1310355120377. The next prime is 1310355120427. The reversal of 1310355120420 is 240215530131.

1310355120420 is a `hidden beast` number, since 1 + 3 + 103 + 5 + 512 + 0 + 42 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 341355073536 + 969000046884 = 584256^2 + 984378^2 .

It is a super-2 number, since 2×13103551204202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1310355120427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3647847 + ... + 3990926.

It is an arithmetic number, because the mean of its divisors is an integer number (55262710503).

Almost surely, 21310355120420 is an apocalyptic number.

1310355120420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310355120420 is an abundant number, since it is smaller than the sum of its proper divisors (2668560035796).

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

1310355120420 is a wasteful number, since it uses less digits than its factorization.

1310355120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7639741 (or 7639736 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1310355120420 in words is "one trillion, three hundred ten billion, three hundred fifty-five million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 953 1906 2859 3812 4765 5718 8577 9530 11436 14295 17154 19060 28590 34308 42885 57180 85770 171540 7638773 15277546 22916319 30555092 38193865 45832638 68748957 76387730 91665276 114581595 137497914 152775460 229163190 274995828 343744785 458326380 687489570 1374979140 7279750669 14559501338 21839252007 29119002676 36398753345 43678504014 65517756021 72797506690 87357008028 109196260035 131035512042 145595013380 218392520070 262071024084 327588780105 436785040140 655177560210 1310355120420