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3201150020 = 2251959712011
BaseRepresentation
bin1011111011001101…
…1010110001000100
322021002112021021212
42332303122301010
523023443300040
61245351430552
7142220216615
oct27663326104
98232467255
103201150020
1113a2a69432
12754085458
133c0282113
14225207c0c
1513b078d65
hexbecdac44

3201150020 has 96 divisors (see below), whose sum is σ = 7301145600. Its totient is φ = 1175126400.

The previous prime is 3201149981. The next prime is 3201150023. The reversal of 3201150020 is 200511023.

It is a happy number.

It is a super-2 number, since 2×32011500202 = 20494722901092000800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3201149977 and 3201150004.

It is not an unprimeable number, because it can be changed into a prime (3201150023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1590815 + ... + 1592825.

It is an arithmetic number, because the mean of its divisors is an integer number (76053600).

Almost surely, 23201150020 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 3201150020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650572800).

3201150020 is an abundant number, since it is smaller than the sum of its proper divisors (4099995580).

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

3201150020 is a wasteful number, since it uses less digits than its factorization.

3201150020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 3201150020 is about 56578.7064185812. The cubic root of 3201150020 is about 1473.7891078926.

Adding to 3201150020 its reverse (200511023), we get a palindrome (3401661043).

The spelling of 3201150020 in words is "three billion, two hundred one million, one hundred fifty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 59 71 76 95 118 142 190 236 284 295 355 380 590 710 1121 1180 1349 1420 2011 2242 2698 4022 4189 4484 5396 5605 6745 8044 8378 10055 11210 13490 16756 20110 20945 22420 26980 38209 40220 41890 76418 79591 83780 118649 142781 152836 159182 191045 237298 285562 318364 382090 397955 474596 571124 593245 713905 764180 795910 1186490 1427810 1591820 2254331 2372980 2712839 2855620 4508662 5425678 8424079 9017324 10851356 11271655 13564195 16848158 22543310 27128390 33696316 42120395 45086620 54256780 84240790 160057501 168481580 320115002 640230004 800287505 1600575010 3201150020