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3310112130 = 23513371911201
BaseRepresentation
bin1100010101001100…
…0100110110000010
322112200120010012120
43011103010312002
523234342042010
61304243105110
7145012326453
oct30523046602
98480503176
103310112130
111449521266
12784672196
13409a12c40
1423588d12a
151458ede70
hexc54c4d82

3310112130 has 128 divisors (see below), whose sum is σ = 8839950336. Its totient is φ = 787968000.

The previous prime is 3310112129. The next prime is 3310112131. The reversal of 3310112130 is 312110133.

It is an interprime number because it is at equal distance from previous prime (3310112129) and next prime (3310112131).

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 (3310112131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2755530 + ... + 2756730.

It is an arithmetic number, because the mean of its divisors is an integer number (69062112).

Almost surely, 23310112130 is an apocalyptic number.

3310112130 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 3310112130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419975168).

3310112130 is an abundant number, since it is smaller than the sum of its proper divisors (5529838206).

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

3310112130 is a wasteful number, since it uses less digits than its factorization.

3310112130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3310112130 is about 57533.5739373107. The cubic root of 3310112130 is about 1490.3247088971.

Adding to 3310112130 its reverse (312110133), we get a palindrome (3622222263).

It can be divided in two parts, 3310 and 112130, that added together give a triangular number (115440 = T480).

The spelling of 3310112130 in words is "three billion, three hundred ten million, one hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 191 195 222 370 382 390 481 555 573 955 962 1110 1146 1201 1443 1910 2402 2405 2483 2865 2886 3603 4810 4966 5730 6005 7067 7206 7215 7449 12010 12415 14134 14430 14898 15613 18015 21201 24830 31226 35335 36030 37245 42402 44437 46839 70670 74490 78065 88874 91871 93678 106005 133311 156130 183742 212010 222185 229391 234195 266622 275613 444370 458782 459355 468390 551226 577681 666555 688173 918710 1146955 1155362 1333110 1376346 1378065 1733043 2293910 2756130 2888405 2982083 3440865 3466086 5776810 5964166 6881730 8487467 8665215 8946249 14910415 16974934 17330430 17892498 25462401 29820830 42437335 44731245 50924802 84874670 89462490 110337071 127312005 220674142 254624010 331011213 551685355 662022426 1103370710 1655056065 3310112130