Search a number
-
+
311002230001020 = 2235193148271811347
BaseRepresentation
bin100011010110110101101100…
…1011100011000110101111100
31111210011112010010202001110220
41012231223121130120311330
5311230430031340013040
63021240241352301340
7122336112116444205
oct10655533134306574
91453145103661426
10311002230001020
119010533a02a188
122aa6a3956a1850
131046c4cc832aac
1456b28342185ac
1525e4d35bae2d0
hex11adad9718d7c

311002230001020 has 96 divisors (see below), whose sum is σ = 875377712149248. Its totient is φ = 82498608525312.

The previous prime is 311002230000983. The next prime is 311002230001031. The reversal of 311002230001020 is 20100032200113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170790987 + ... + 172602333.

It is an arithmetic number, because the mean of its divisors is an integer number (9118517834888).

Almost surely, 2311002230001020 is an apocalyptic number.

311002230001020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311002230001020 is an abundant number, since it is smaller than the sum of its proper divisors (564375482148228).

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

311002230001020 is a wasteful number, since it uses less digits than its factorization.

311002230001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826379 (or 1826377 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 311002230001020 its reverse (20100032200113), we get a palindrome (331102262201133).

The spelling of 311002230001020 in words is "three hundred eleven trillion, two billion, two hundred thirty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 193 386 579 772 965 1158 1930 2316 2895 3860 5790 11580 14827 29654 44481 59308 74135 88962 148270 177924 222405 296540 444810 889620 1811347 2861611 3622694 5434041 5723222 7245388 8584833 9056735 10868082 11446444 14308055 17169666 18113470 21736164 27170205 28616110 34339332 36226940 42924165 54340410 57232220 85848330 108680820 171696660 349589971 699179942 1048769913 1398359884 1747949855 2097539826 3495899710 4195079652 5243849565 6991799420 10487699130 20975398260 26856841969 53713683938 80570525907 107427367876 134284209845 161141051814 268568419690 322282103628 402852629535 537136839380 805705259070 1611410518140 5183370500017 10366741000034 15550111500051 20733482000068 25916852500085 31100223000102 51833705000170 62200446000204 77750557500255 103667410000340 155501115000510 311002230001020