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10332202400124 = 223111719923137529
BaseRepresentation
bin1001011001011010011101…
…0000001111100101111100
31100120202012221122200221120
42112112213100033211330
52323240322303300444
633550314231230540
72114322415222263
oct226264720174574
940522187580846
1010332202400124
113323953993140
1211aa549818450
1359c426711157
1427a11cdbd5da
1512db6e76db19
hex965a740f97c

10332202400124 has 96 divisors (see below), whose sum is σ = 27987156288000. Its totient is φ = 2931987548160.

The previous prime is 10332202400119. The next prime is 10332202400131. The reversal of 10332202400124 is 42100420223301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10332202400094 and 10332202400103.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11122209 + ... + 12015320.

It is an arithmetic number, because the mean of its divisors is an integer number (291532878000).

Almost surely, 210332202400124 is an apocalyptic number.

It is an amenable number.

10332202400124 is an abundant number, since it is smaller than the sum of its proper divisors (17654953887876).

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

10332202400124 is a wasteful number, since it uses less digits than its factorization.

10332202400124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23137763 (or 23137761 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10332202400124 its reverse (42100420223301), we get a palindrome (52432622623425).

The spelling of 10332202400124 in words is "ten trillion, three hundred thirty-two billion, two hundred two million, four hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 199 204 374 398 561 597 748 796 1122 1194 2189 2244 2388 3383 4378 6567 6766 8756 10149 13134 13532 20298 26268 37213 40596 74426 111639 148852 223278 446556 23137529 46275058 69412587 92550116 138825174 254512819 277650348 393337993 509025638 763538457 786675986 1018051276 1180013979 1527076914 1573351972 2360027958 3054153828 4326717923 4604368271 4720055916 8653435846 9208736542 12980153769 13813104813 17306871692 18417473084 25960307538 27626209626 50648050981 51920615076 55252419252 78274260607 101296101962 151944152943 156548521214 202592203924 234822781821 303888305886 313097042428 469645563642 607776611772 861016866677 939291127284 1722033733354 2583050600031 3444067466708 5166101200062 10332202400124