Search a number
-
+
1032332012030 = 2511374310158403
BaseRepresentation
bin11110000010110111100…
…10000110100111111110
310122200121222210210222002
433001123302012213332
5113403203443341110
62110125145422302
7134404102214534
oct17013362064776
93580558723862
101032332012030
1136889a5650a0
121480a5a9a992
137646b8337c7
1437d72494154
151bcbee86aa5
hexf05bc869fe

1032332012030 has 128 divisors (see below), whose sum is σ = 2151457583616. Its totient is φ = 353215296000.

The previous prime is 1032332012021. The next prime is 1032332012039. The reversal of 1032332012030 is 302102332301.

It is an interprime number because it is at equal distance from previous prime (1032332012021) and next prime (1032332012039).

It is a junction number, because it is equal to n+sod(n) for n = 1032332011993 and 1032332012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032332012039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17646809 + ... + 17705211.

It is an arithmetic number, because the mean of its divisors is an integer number (16808262372).

Almost surely, 21032332012030 is an apocalyptic number.

1032332012030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1032332012030 is an abundant number, since it is smaller than the sum of its proper divisors (1119125571586).

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

1032332012030 is a wasteful number, since it uses less digits than its factorization.

1032332012030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58602.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1032332012030 its reverse (302102332301), we get a palindrome (1334434344331).

The spelling of 1032332012030 in words is "one trillion, thirty-two billion, three hundred thirty-two million, twelve thousand, thirty".

Divisors: 1 2 5 10 11 22 37 43 55 74 86 101 110 185 202 215 370 407 430 473 505 814 946 1010 1111 1591 2035 2222 2365 3182 3737 4070 4343 4730 5555 7474 7955 8686 11110 15910 17501 18685 21715 35002 37370 41107 43430 47773 58403 82214 87505 95546 116806 160691 175010 205535 238865 292015 321382 411070 477730 584030 642433 803455 1284866 1606910 1767601 2160911 2511329 3212165 3535202 4321822 5022658 5898703 6424330 8838005 10804555 11797406 12556645 17676010 21609110 23770021 25113290 27624619 29493515 47540042 55249238 58987030 64885733 92919173 118850105 129771466 138123095 185838346 218252011 237700210 253644229 276246190 324428665 436504022 464595865 507288458 648857330 929191730 1022110903 1091260055 1268221145 2044221806 2182520110 2400772121 2536442290 2790086519 4801544242 5110554515 5580173038 9384836473 10221109030 12003860605 13950432595 18769672946 24007721210 27900865190 46924182365 93848364730 103233201203 206466402406 516166006015 1032332012030