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5313121020 = 2233535927407
BaseRepresentation
bin1001111001010111…
…11100101011111100
3111201021120111212000
410330223330223330
541340124333040
62235114342300
7245443532514
oct47453745374
914637514760
105313121020
112287133509
12104342a990
136689a19bc
143858cc844
152116a8130
hex13cafcafc

5313121020 has 96 divisors (see below), whose sum is σ = 16576358400. Its totient is φ = 1412834112.

The previous prime is 5313121019. The next prime is 5313121039. The reversal of 5313121020 is 201213135.

5313121020 is a `hidden beast` number, since 531 + 31 + 2 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5313120984 and 5313121002.

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, 180157 + ... + 207563.

It is an arithmetic number, because the mean of its divisors is an integer number (172670400).

Almost surely, 25313121020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5313121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8288179200).

5313121020 is an abundant number, since it is smaller than the sum of its proper divisors (11263237380).

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

5313121020 is a wasteful number, since it uses less digits than its factorization.

5313121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27784 (or 27776 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5313121020 is about 72891.1587231264. The cubic root of 5313121020 is about 1744.9510001211.

Adding to 5313121020 its reverse (201213135), we get a palindrome (5514334155).

The spelling of 5313121020 in words is "five billion, three hundred thirteen million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 359 540 718 1077 1436 1795 2154 3231 3590 4308 5385 6462 7180 9693 10770 12924 16155 19386 21540 27407 32310 38772 48465 54814 64620 82221 96930 109628 137035 164442 193860 246663 274070 328884 411105 493326 548140 739989 822210 986652 1233315 1479978 1644420 2466630 2959956 3699945 4933260 7399890 9839113 14799780 19678226 29517339 39356452 49195565 59034678 88552017 98391130 118069356 147586695 177104034 196782260 265656051 295173390 354208068 442760085 531312102 590346780 885520170 1062624204 1328280255 1771040340 2656560510 5313121020