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1310214400120 = 2351372117611489
BaseRepresentation
bin10011000100001110110…
…111010010100001111000
311122020220002112202000201
4103010032313102201320
5132431304341300440
62441523145411544
7163442222434513
oct23041667224170
94566802482021
101310214400120
1146572796518a
12191b18199bb4
1396725341492
14475b3d9bd7a
1524135a3419a
hex1310edd2878

1310214400120 has 128 divisors (see below), whose sum is σ = 2989500955200. Its totient is φ = 516766924800.

The previous prime is 1310214400093. The next prime is 1310214400223. The reversal of 1310214400120 is 210044120131.

It is a super-2 number, since 2×13102144001202 (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 879928336 + ... + 879929824.

Almost surely, 21310214400120 is an apocalyptic number.

1310214400120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310214400120 is an abundant number, since it is smaller than the sum of its proper divisors (1679286555080).

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

1310214400120 is a wasteful number, since it uses less digits than its factorization.

1310214400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1310214400120 its reverse (210044120131), we get a palindrome (1520258520251).

The spelling of 1310214400120 in words is "one trillion, three hundred ten billion, two hundred fourteen million, four hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 137 211 274 422 548 685 761 844 1055 1096 1370 1489 1522 1688 2110 2740 2978 3044 3805 4220 5480 5956 6088 7445 7610 8440 11912 14890 15220 28907 29780 30440 57814 59560 104257 115628 144535 160571 203993 208514 231256 289070 314179 321142 407986 417028 521285 578140 628358 642284 802855 815972 834056 1019965 1042570 1133129 1156280 1256716 1284568 1570895 1605710 1631944 2039930 2085140 2266258 2513432 3141790 3211420 4079860 4170280 4532516 5665645 6283580 6422840 8159720 9065032 11331290 12567160 21998227 22662580 43042523 43996454 45325160 86085046 87992908 109991135 155238673 172170092 175985816 215212615 219982270 239090219 310477346 344340184 430425230 439964540 478180438 620954692 776193365 860850460 879929080 956360876 1195451095 1241909384 1552386730 1721700920 1912721752 2390902190 3104773460 4781804380 6209546920 9563608760 32755360003 65510720006 131021440012 163776800015 262042880024 327553600030 655107200060 1310214400120