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2011313988 = 22321371932113
BaseRepresentation
bin111011111100010…
…0011011101000100
312012011122100002200
41313320203131010
513104344021423
6531325234500
7100561613115
oct16770433504
95164570080
102011313988
11942374a72
12481702a30
13260909028
141511a220c
15bb899d43
hex77e23744

2011313988 has 72 divisors (see below), whose sum is σ = 5150236728. Its totient is φ = 661782528.

The previous prime is 2011313987. The next prime is 2011314001. The reversal of 2011313988 is 8893131102.

It can be written as a sum of positive squares in 4 ways, for example, as 11614464 + 1999699524 = 3408^2 + 44718^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2011313987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950820 + ... + 952932.

Almost surely, 22011313988 is an apocalyptic number.

It is an amenable number.

2011313988 is an abundant number, since it is smaller than the sum of its proper divisors (3138922740).

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

2011313988 is a wasteful number, since it uses less digits than its factorization.

2011313988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2011313988 is about 44847.6753912619. The cubic root of 2011313988 is about 1262.2923725874.

The spelling of 2011313988 in words is "two billion, eleven million, three hundred thirteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 137 193 274 386 411 548 579 772 822 1158 1233 1644 1737 2113 2316 2466 3474 4226 4932 6339 6948 8452 12678 19017 25356 26441 38034 52882 76068 79323 105764 158646 237969 289481 317292 407809 475938 578962 815618 868443 951876 1157924 1223427 1631236 1736886 2446854 2605329 3473772 3670281 4893708 5210658 7340562 10421316 14681124 55869833 111739666 167609499 223479332 335218998 502828497 670437996 1005656994 2011313988