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1310672281720 = 235383187345677
BaseRepresentation
bin10011000100101010001…
…001111110000001111000
311122022002000010112111111
4103010222021332001320
5132433224101003340
62442040423410104
7163456452401344
oct23045211760170
94568060115444
101310672281720
1146594237442a
121920255b3934
139679916a739
1447618b0c624
1524160d2caea
hex1312a27e078

1310672281720 has 64 divisors (see below), whose sum is σ = 2958355768320. Its totient is φ = 522609444864.

The previous prime is 1310672281693. The next prime is 1310672281733. The reversal of 1310672281720 is 271822760131.

It is a super-3 number, since 3×13106722817203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28671522 + ... + 28717198.

It is an arithmetic number, because the mean of its divisors is an integer number (46224308880).

Almost surely, 21310672281720 is an apocalyptic number.

1310672281720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310672281720 is an abundant number, since it is smaller than the sum of its proper divisors (1647683486600).

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

1310672281720 is a wasteful number, since it uses less digits than its factorization.

1310672281720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47944 (or 47940 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 1310672281720 in words is "one trillion, three hundred ten billion, six hundred seventy-two million, two hundred eighty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 383 766 1532 1873 1915 3064 3746 3830 7492 7660 9365 14984 15320 18730 37460 45677 74920 91354 182708 228385 365416 456770 717359 913540 1434718 1827080 2869436 3586795 5738872 7173590 14347180 17494291 28694360 34988582 69977164 85553021 87471455 139954328 171106042 174942910 342212084 349885820 427765105 684424168 699771640 855530210 1711060420 3422120840 32766807043 65533614086 131067228172 163834035215 262134456344 327668070430 655336140860 1310672281720