Search a number
-
+
2113033320 = 2332519308923
BaseRepresentation
bin111110111110010…
…0101010001101000
312110021001012210100
41331330211101220
513311414031240
6545401345400
7103235325666
oct17574452150
95407035710
102113033320
11994830232
124ab798260
13278a02298
141608bdc36
15c578de30
hex7df25468

2113033320 has 96 divisors (see below), whose sum is σ = 7228821600. Its totient is φ = 533817216.

The previous prime is 2113033319. The next prime is 2113033331. The reversal of 2113033320 is 233303112.

It is a super-2 number, since 2×21130333202 = 8929819622860444800, which contains 22 as substring.

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 = 2113033293 and 2113033302.

It is an unprimeable number.

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, 147622 + ... + 161301.

It is an arithmetic number, because the mean of its divisors is an integer number (75300225).

Almost surely, 22113033320 is an apocalyptic number.

2113033320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113033320 is an abundant number, since it is smaller than the sum of its proper divisors (5115788280).

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

2113033320 is a wasteful number, since it uses less digits than its factorization.

2113033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308959 (or 308952 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2113033320 is about 45967.7421677419. The cubic root of 2113033320 is about 1283.2229408988. Note that the first 3 decimals are identical.

Adding to 2113033320 its reverse (233303112), we get a palindrome (2346336432).

The spelling of 2113033320 in words is "two billion, one hundred thirteen million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 308923 617846 926769 1235692 1544615 1853538 2471384 2780307 3089230 3707076 4633845 5560614 5869537 6178460 7414152 9267690 11121228 11739074 12356920 13901535 17608611 18535380 22242456 23478148 27803070 29347685 35217222 37070760 46956296 52825833 55606140 58695370 70434444 88043055 105651666 111212280 117390740 140868888 176086110 211303332 234781480 264129165 352172220 422606664 528258330 704344440 1056516660 2113033320