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10332141404100 = 22352149231144103
BaseRepresentation
bin1001011001011010001110…
…0111100011111111000100
31100120202001200212210010120
42112112203213203333010
52323240211144412400
633550304212021540
72114321044606305
oct226264347437704
940522050783116
1010332141404100
1133239225119aa
1211aa5313018b0
1359c416ba5a29
1427a114c627ac
1512db69220ca0
hex965a39e3fc4

10332141404100 has 72 divisors (see below), whose sum is σ = 30094962340800. Its totient is φ = 2736746167680.

The previous prime is 10332141404089. The next prime is 10332141404147. The reversal of 10332141404100 is 140414123301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115527352 + ... + 115616751.

Almost surely, 210332141404100 is an apocalyptic number.

10332141404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10332141404100 is an abundant number, since it is smaller than the sum of its proper divisors (19762820936700).

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

10332141404100 is a wasteful number, since it uses less digits than its factorization.

10332141404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231144269 (or 231144262 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10332141404100 its reverse (140414123301), we get a palindrome (10472555527401).

The spelling of 10332141404100 in words is "ten trillion, three hundred thirty-two billion, one hundred forty-one million, four hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 298 300 447 596 745 894 1490 1788 2235 2980 3725 4470 7450 8940 11175 14900 22350 44700 231144103 462288206 693432309 924576412 1155720515 1386864618 2311441030 2773729236 3467161545 4622882060 5778602575 6934323090 11557205150 13868646180 17335807725 23114410300 34440471347 34671615450 68880942694 69343230900 103321414041 137761885388 172202356735 206642828082 344404713470 413285656164 516607070205 688809426940 861011783675 1033214140410 1722023567350 2066428280820 2583035351025 3444047134700 5166070702050 10332141404100