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132022230010 = 251121729221317
BaseRepresentation
bin111101011110100100…
…0110101101111111010
3110121202212010011200121
41322331020311233322
54130340142330020
6140352234323454
712352430303446
oct1727510655772
9417685104617
10132022230010
1150a9911a500
1221705b8958a
13c5acb33338
146565cad826
15367a667baa
hex1ebd235bfa

132022230010 has 96 divisors (see below), whose sum is σ = 286111057680. Its totient is φ = 43625809920.

The previous prime is 132022229947. The next prime is 132022230013. The reversal of 132022230010 is 10032220231.

It can be written as a sum of positive squares in 8 ways, for example, as 56982941521 + 75039288489 = 238711^2 + 273933^2 .

It is not an unprimeable number, because it can be changed into a prime (132022230013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485872 + ... + 707188.

Almost surely, 2132022230010 is an apocalyptic number.

132022230010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132022230010 is an abundant number, since it is smaller than the sum of its proper divisors (154088827670).

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

132022230010 is a wasteful number, since it uses less digits than its factorization.

132022230010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221392 (or 221381 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132022230010 its reverse (10032220231), we get a palindrome (142054450241).

The spelling of 132022230010 in words is "one hundred thirty-two billion, twenty-two million, two hundred thirty thousand, ten".

Divisors: 1 2 5 10 11 17 22 29 34 55 58 85 110 121 145 170 187 242 290 319 374 493 605 638 935 986 1210 1595 1870 2057 2465 3190 3509 4114 4930 5423 7018 10285 10846 17545 20570 27115 35090 54230 59653 119306 221317 298265 442634 596530 1106585 2213170 2434487 3762389 4868974 6418193 7524778 12172435 12836386 18811945 24344870 26779357 32090965 37623890 41386279 53558714 64181930 70600123 82772558 109109281 133896785 141200246 206931395 218218562 267793570 353000615 413862790 455249069 545546405 706001230 776601353 910498138 1091092810 1200202091 1553202706 2276245345 2400404182 3883006765 4552490690 6001010455 7766013530 12002020910 13202223001 26404446002 66011115005 132022230010