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3131120010 = 23517193111039
BaseRepresentation
bin1011101010100001…
…0001100110001010
322002012202101011210
42322220101212022
522403031320020
61234410433550
7140410036524
oct27250214612
98065671153
103131120010
111367487897
127347328b6
133ab902a45
14219bb8a14
15134d443e0
hexbaa1198a

3131120010 has 128 divisors (see below), whose sum is σ = 8410521600. Its totient is φ = 741381120.

The previous prime is 3131120009. The next prime is 3131120017. The reversal of 3131120010 is 100211313.

It is not an unprimeable number, because it can be changed into a prime (3131120017) 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, 3013071 + ... + 3014109.

It is an arithmetic number, because the mean of its divisors is an integer number (65707200).

Almost surely, 23131120010 is an apocalyptic number.

3131120010 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 3131120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205260800).

3131120010 is an abundant number, since it is smaller than the sum of its proper divisors (5279401590).

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

3131120010 is a wasteful number, since it uses less digits than its factorization.

3131120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 3131120010 is about 55956.4116969628. The cubic root of 3131120010 is about 1462.9626476987.

Adding to 3131120010 its reverse (100211313), we get a palindrome (3231331323).

The spelling of 3131120010 in words is "three billion, one hundred thirty-one million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 311 323 510 570 622 646 933 969 1039 1555 1615 1866 1938 2078 3110 3117 3230 4665 4845 5195 5287 5909 6234 9330 9690 10390 10574 11818 15585 15861 17663 17727 19741 26435 29545 31170 31722 35326 35454 39482 52870 52989 59090 59223 79305 88315 88635 98705 100453 105978 118446 158610 176630 177270 197410 200906 264945 296115 301359 323129 335597 502265 529890 592230 602718 646258 671194 969387 1004530 1006791 1506795 1615645 1677985 1938774 2013582 3013590 3231290 3355970 4846935 5033955 5493193 6139451 9693870 10067910 10986386 12278902 16479579 18418353 27465965 30697255 32959158 36836706 54931930 61394510 82397895 92091765 104370667 164795790 184183530 208741334 313112001 521853335 626224002 1043706670 1565560005 3131120010