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3131445120 = 273511811381
BaseRepresentation
bin1011101010100110…
…0000111110000000
322002020100220010220
42322221200332000
522403122220440
61234421423040
7140412562416
oct27251407600
98066326126
103131445120
11136768a081
1273486aa80
133ab9b7a0b
14219c612b6
15134daa8d0
hexbaa60f80

3131445120 has 128 divisors (see below), whose sum is σ = 9997166880. Its totient is φ = 833740800.

The previous prime is 3131445103. The next prime is 3131445133. The reversal of 3131445120 is 215441313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2266830 + ... + 2268210.

Almost surely, 23131445120 is an apocalyptic number.

3131445120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998583440).

3131445120 is an abundant number, since it is smaller than the sum of its proper divisors (6865721760).

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

3131445120 is a wasteful number, since it uses less digits than its factorization.

3131445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3131445120 is about 55959.3166505811. The cubic root of 3131445120 is about 1463.0132799883.

Adding to 3131445120 its reverse (215441313), we get a palindrome (3346886433).

The spelling of 3131445120 in words is "three billion, one hundred thirty-one million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1181 1381 1920 2362 2762 3543 4143 4724 5524 5905 6905 7086 8286 9448 11048 11810 13810 14172 16572 17715 18896 20715 22096 23620 27620 28344 33144 35430 37792 41430 44192 47240 55240 56688 66288 70860 75584 82860 88384 94480 110480 113376 132576 141720 151168 165720 176768 188960 220960 226752 265152 283440 331440 377920 441920 453504 530304 566880 662880 755840 883840 1133760 1325760 1630961 2267520 2651520 3261922 4892883 6523844 8154805 9785766 13047688 16309610 19571532 24464415 26095376 32619220 39143064 48928830 52190752 65238440 78286128 97857660 104381504 130476880 156572256 195715320 208763008 260953760 313144512 391430640 521907520 626289024 782861280 1043815040 1565722560 3131445120