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3012131332 = 22741719971
BaseRepresentation
bin1011001110001001…
…0111101000000100
321202220212010101201
42303202113220010
522132101200312
61214520232244
7134433460000
oct26342275004
97686763351
103012131332
1113062a6941
1270090b684
13390071242
14208083700
1512968d557
hexb3897a04

3012131332 has 120 divisors (see below), whose sum is σ = 6860881440. Its totient is φ = 1149845760.

The previous prime is 3012131303. The next prime is 3012131357. The reversal of 3012131332 is 2331312103.

It is a super-2 number, since 2×30121313322 = 18145870322432188448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3101607 + ... + 3102577.

It is an arithmetic number, because the mean of its divisors is an integer number (57174012).

Almost surely, 23012131332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430440720).

3012131332 is an abundant number, since it is smaller than the sum of its proper divisors (3848750108).

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

3012131332 is a wasteful number, since it uses less digits than its factorization.

3012131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 3012131332 is about 54882.8874240414. The cubic root of 3012131332 is about 1444.1910011234.

Adding to 3012131332 its reverse (2331312103), we get a palindrome (5343443435).

The spelling of 3012131332 in words is "three billion, twelve million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 19 28 34 38 49 68 76 98 119 133 196 238 266 323 343 476 532 646 686 833 931 971 1292 1372 1666 1862 1942 2261 2401 3332 3724 3884 4522 4802 5831 6517 6797 9044 9604 11662 13034 13594 15827 16507 18449 23324 26068 27188 31654 33014 36898 40817 45619 47579 63308 66028 73796 81634 91238 95158 110789 115549 129143 163268 182476 190316 221578 231098 258286 313633 333053 443156 462196 516572 627266 666106 775523 808843 904001 1254532 1332212 1551046 1617686 1808002 2195431 2331371 3102092 3235372 3616004 4390862 4662742 5661901 6328007 8781724 9325484 11323802 12656014 15368017 22647604 25312028 30736034 39633307 44296049 61472068 79266614 88592098 107576119 158533228 177184196 215152238 430304476 753032833 1506065666 3012131332