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3132230010 = 2357131916007
BaseRepresentation
bin1011101010110010…
…0000100101111010
322002021211202210220
42322230200211322
522403322330020
61234450320510
7140422341630
oct27254404572
98067752726
103132230010
111368075848
12734b89136
133abc01050
14219dc7350
15134eb3240
hexbab2097a

3132230010 has 128 divisors (see below), whose sum is σ = 9302114304. Its totient is φ = 657296640.

The previous prime is 3132229993. The next prime is 3132230011. The reversal of 3132230010 is 100322313.

3132230010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×31322300103 (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3132230011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 518427 + ... + 524433.

It is an arithmetic number, because the mean of its divisors is an integer number (72672768).

Almost surely, 23132230010 is an apocalyptic number.

3132230010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132230010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651057152).

3132230010 is an abundant number, since it is smaller than the sum of its proper divisors (6169884294).

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

3132230010 is a wasteful number, since it uses less digits than its factorization.

3132230010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228.

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

The square root of 3132230010 is about 55966.3292525068. The cubic root of 3132230010 is about 1463.1355034903.

Adding to 3132230010 its reverse (100322313), we get a palindrome (3232552323).

The spelling of 3132230010 in words is "three billion, one hundred thirty-two million, two hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 191 195 210 273 382 390 455 546 573 910 955 1146 1337 1365 1910 2483 2674 2730 2865 4011 4966 5730 6007 6685 7449 8022 12014 12415 13370 14898 17381 18021 20055 24830 30035 34762 36042 37245 40110 42049 52143 60070 74490 78091 84098 86905 90105 104286 126147 156182 173810 180210 210245 234273 252294 260715 390455 420490 468546 521430 546637 630735 780910 1093274 1147337 1171365 1261470 1639911 2294674 2342730 2733185 3279822 3442011 5466370 5736685 6884022 8031359 8199555 11473370 14915381 16062718 16399110 17210055 24094077 29830762 34420110 40156795 44746143 48188154 74576905 80313590 89492286 104407667 120470385 149153810 208815334 223730715 240940770 313223001 447461430 522038335 626446002 1044076670 1566115005 3132230010