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1032001001010 = 232575927764353
BaseRepresentation
bin11110000010010000000…
…11011001011000110010
310122122202220221201012200
433001020003121120302
5113402014224013020
62110032243004030
7134362642526040
oct17011003313062
93578686851180
101032001001010
1136873a72a671
12148013069616
13764180987b5
1437d4052b390
151bca0d9e590
hexf0480d9632

1032001001010 has 96 divisors (see below), whose sum is σ = 3118492241280. Its totient is φ = 231887867904.

The previous prime is 1032001000999. The next prime is 1032001001177. The reversal of 1032001001010 is 101001002301.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1032001000983 and 1032001001001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13845007 + ... + 13919346.

It is an arithmetic number, because the mean of its divisors is an integer number (32484294180).

Almost surely, 21032001001010 is an apocalyptic number.

1032001001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1032001001010 is an abundant number, since it is smaller than the sum of its proper divisors (2086491240270).

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

1032001001010 is a wasteful number, since it uses less digits than its factorization.

1032001001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27764432 (or 27764429 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1032001001010 its reverse (101001002301), we get a palindrome (1133002003311).

The spelling of 1032001001010 in words is "one trillion, thirty-two billion, one million, one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 59 63 70 90 105 118 126 177 210 295 315 354 413 531 590 630 826 885 1062 1239 1770 2065 2478 2655 3717 4130 5310 6195 7434 12390 18585 37170 27764353 55528706 83293059 138821765 166586118 194350471 249879177 277643530 388700942 416465295 499758354 583051413 832930590 971752355 1166102826 1249395885 1638096827 1749154239 1943504710 2498791770 2915257065 3276193654 3498308478 4914290481 5830514130 8190484135 8745771195 9828580962 11466677789 14742871443 16380968270 17491542390 22933355578 24571452405 29485742886 34400033367 49142904810 57333388945 68800066734 73714357215 103200100101 114666777890 147428714430 172000166835 206400200202 344000333670 516000500505 1032001001010