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1301123312320 = 26513312770027
BaseRepresentation
bin10010111011110000111…
…111100010101011000000
311121101102112001122001011
4102323300333202223000
5132304200031443240
62433421112050304
7163001022450406
oct22736077425300
94541375048034
101301123312320
1146189220a387
121901bb693994
1395906a4b0a0
1446d90835476
1523ca28636ea
hex12ef0fe2ac0

1301123312320 has 56 divisors (see below), whose sum is σ = 3336630658704. Its totient is φ = 480414759936.

The previous prime is 1301123312317. The next prime is 1301123312341. The reversal of 1301123312320 is 232133211031.

It is a super-3 number, since 3×13011233123203 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1301123312291 and 1301123312300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156380854 + ... + 156389173.

It is an arithmetic number, because the mean of its divisors is an integer number (59582690334).

Almost surely, 21301123312320 is an apocalyptic number.

1301123312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301123312320 is an abundant number, since it is smaller than the sum of its proper divisors (2035507346384).

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

1301123312320 is a wasteful number, since it uses less digits than its factorization.

1301123312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312770057 (or 312770047 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1301123312320 its reverse (232133211031), we get a palindrome (1533256523351).

The spelling of 1301123312320 in words is "one trillion, three hundred one billion, one hundred twenty-three million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 312770027 625540054 1251080108 1563850135 2502160216 3127700270 4066010351 5004320432 6255400540 8132020702 10008640864 12510801080 16264041404 20017281728 20330051755 25021602160 32528082808 40660103510 50043204320 65056165616 81320207020 100086408640 130112331232 162640414040 260224662464 325280828080 650561656160 1301123312320