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10331220001320 = 2332544293647909
BaseRepresentation
bin1001011001010110110010…
…1100101100001000101000
31100120122200111002200010200
42112111230230230020220
52323231314310020240
633550032535112200
72114256156036651
oct226255454541050
940518614080120
1010331220001320
11332349a3a13a9
1211aa314812660
1359c2cb02759a
1427a068734528
1512db133b7930
hex9656cb2c228

10331220001320 has 96 divisors (see below), whose sum is σ = 33577274881800. Its totient is φ = 2754925549056.

The previous prime is 10331220001279. The next prime is 10331220001357. The reversal of 10331220001320 is 2310002213301.

10331220001320 is a `hidden beast` number, since 1 + 0 + 331 + 2 + 200 + 0 + 132 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10260579929796 + 70640071524 = 3203214^2 + 265782^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10331220001293 and 10331220001302.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15621526 + ... + 16269434.

Almost surely, 210331220001320 is an apocalyptic number.

10331220001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10331220001320 is an abundant number, since it is smaller than the sum of its proper divisors (23246054880480).

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

10331220001320 is a wasteful number, since it uses less digits than its factorization.

10331220001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692219 (or 692212 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10331220001320 its reverse (2310002213301), we get a palindrome (12641222214621).

The spelling of 10331220001320 in words is "ten trillion, three hundred thirty-one billion, two hundred twenty million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 44293 88586 132879 177172 221465 265758 354344 398637 442930 531516 647909 664395 797274 885860 1063032 1295818 1328790 1594548 1771720 1943727 1993185 2591636 2657580 3189096 3239545 3887454 3986370 5183272 5315160 5831181 6479090 7774908 7972740 9718635 11662362 12958180 15549816 15945480 19437270 23324724 25916360 29155905 38874540 46649448 58311810 77749080 116623620 233247240 28697833337 57395666674 86093500011 114791333348 143489166685 172187000022 229582666696 258280500033 286978333370 344374000044 430467500055 516561000066 573956666740 688748000088 860935000110 1033122000132 1147913333480 1291402500165 1721870000220 2066244000264 2582805000330 3443740000440 5165610000660 10331220001320