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3201131220 = 2235737205993
BaseRepresentation
bin1011111011001101…
…0110001011010100
322021002111022111120
42332303112023110
523023442144340
61245351203540
7142220111040
oct27663261324
98232438446
103201131220
1113a2a562a1
127540765b0
133c02766b1
14225201020
1513b0734d0
hexbecd62d4

3201131220 has 96 divisors (see below), whose sum is σ = 10520525568. Its totient is φ = 711908352.

The previous prime is 3201131179. The next prime is 3201131239. The reversal of 3201131220 is 221311023.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3201131220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87457 + ... + 118536.

It is an arithmetic number, because the mean of its divisors is an integer number (109588808).

Almost surely, 23201131220 is an apocalyptic number.

3201131220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3201131220 is an abundant number, since it is smaller than the sum of its proper divisors (7319394348).

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

3201131220 is a wasteful number, since it uses less digits than its factorization.

3201131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206049 (or 206047 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3201131220 is about 56578.5402780948. The cubic root of 3201131220 is about 1473.7862227535.

Adding to 3201131220 its reverse (221311023), we get a palindrome (3422442243).

It can be divided in two parts, 3201 and 131220, that added together give a triangular number (134421 = T518).

The spelling of 3201131220 in words is "three billion, two hundred one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 15540 205993 411986 617979 823972 1029965 1235958 1441951 2059930 2471916 2883902 3089895 4119860 4325853 5767804 6179790 7209755 7621741 8651706 12359580 14419510 15243482 17303412 21629265 22865223 28839020 30486964 38108705 43258530 45730446 53352187 76217410 86517060 91460892 106704374 114326115 152434820 160056561 213408748 228652230 266760935 320113122 457304460 533521870 640226244 800282805 1067043740 1600565610 3201131220