Search a number
-
+
10132003320 = 2335710311887
BaseRepresentation
bin10010110111110101…
…00001100111111000
3222011010011002122020
421123322201213320
5131222243101240
64353215554440
7506036415165
oct113372414770
928133132566
1010132003320
11432a28506a
121b6922ba20
13c56157a4a
146c18c506c
153e47850d0
hex25bea19f8

10132003320 has 64 divisors (see below), whose sum is σ = 30402846720. Its totient is φ = 2701259904.

The previous prime is 10132003291. The next prime is 10132003363. The reversal of 10132003320 is 2330023101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10132003320.

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 15 ways as a sum of consecutive naturals, for example, 846417 + ... + 858303.

It is an arithmetic number, because the mean of its divisors is an integer number (475044480).

Almost surely, 210132003320 is an apocalyptic number.

10132003320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132003320 is an abundant number, since it is smaller than the sum of its proper divisors (20270843400).

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

10132003320 is a wasteful number, since it uses less digits than its factorization.

10132003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19004 (or 19000 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10132003320 its reverse (2330023101), we get a palindrome (12462026421).

The spelling of 10132003320 in words is "ten billion, one hundred thirty-two million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 7103 11887 14206 21309 23774 28412 35515 35661 42618 47548 56824 59435 71030 71322 85236 95096 106545 118870 142060 142644 170472 178305 213090 237740 284120 285288 356610 426180 475480 713220 852360 1426440 84433361 168866722 253300083 337733444 422166805 506600166 675466888 844333610 1013200332 1266500415 1688667220 2026400664 2533000830 3377334440 5066001660 10132003320