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10023002460660 = 22357113211188421
BaseRepresentation
bin1001000111011010100110…
…0000000101000111110100
31022111012010021102022210210
42101312221200011013310
52303204102112220120
633152300451345420
72053065226132650
oct221665140050764
938435107368723
1010023002460660
113214805654192
12115a6372b2270
1357921b8996a7
1426918a09ba60
15125ac458bce0
hex91da98051f4

10023002460660 has 96 divisors (see below), whose sum is σ = 32357445265152. Its totient is φ = 2270697891840.

The previous prime is 10023002460631. The next prime is 10023002460661. The reversal of 10023002460660 is 6606420032001.

It is a super-3 number, since 3×100230024606603 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023002460661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105546751 + ... + 105641670.

It is an arithmetic number, because the mean of its divisors is an integer number (337056721512).

Almost surely, 210023002460660 is an apocalyptic number.

10023002460660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023002460660 is an abundant number, since it is smaller than the sum of its proper divisors (22334442804492).

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

10023002460660 is a wasteful number, since it uses less digits than its factorization.

10023002460660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211188553 (or 211188551 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 10023002460660 its reverse (6606420032001), we get a palindrome (16629422492661).

The spelling of 10023002460660 in words is "ten trillion, twenty-three billion, two million, four hundred sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 113 140 210 226 339 420 452 565 678 791 1130 1356 1582 1695 2260 2373 3164 3390 3955 4746 6780 7910 9492 11865 15820 23730 47460 211188421 422376842 633565263 844753684 1055942105 1267130526 1478318947 2111884210 2534261052 2956637894 3167826315 4223768420 4434956841 5913275788 6335652630 7391594735 8869913682 12671305260 14783189470 17739827364 22174784205 23864291573 29566378940 44349568410 47728583146 71592874719 88699136820 95457166292 119321457865 143185749438 167050041011 238642915730 286371498876 334100082022 357964373595 477285831460 501150123033 668200164044 715928747190 835250205055 1002300246066 1431857494380 1670500410110 2004600492132 2505750615165 3341000820220 5011501230330 10023002460660