Search a number
-
+
10132111321000 = 235329349383149
BaseRepresentation
bin1001001101110001000011…
…1001010110011110101000
31022212121202020222201101021
42103130100321112132220
52312001030444233000
633314343325102224
72064010110136414
oct223342071263650
938777666881337
1010132111321000
113257005773939
1211778076b7974
135865b9582b06
1427057ab8dd44
1512885d30811a
hex93710e567a8

10132111321000 has 64 divisors (see below), whose sum is σ = 24526697130000. Its totient is φ = 3913091257600.

The previous prime is 10132111320977. The next prime is 10132111321019. The reversal of 10132111321000 is 12311123101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2789561359204 + 7342549961796 = 1670198^2 + 2709714^2 .

It is a super-2 number, since 2×101321113210002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174662575 + ... + 174720574.

Almost surely, 210132111321000 is an apocalyptic number.

10132111321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132111321000 is an abundant number, since it is smaller than the sum of its proper divisors (14394585809000).

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

10132111321000 is a wasteful number, since it uses less digits than its factorization.

10132111321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349383199 (or 349383185 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10132111321000 its reverse (12311123101), we get a palindrome (10144422444101).

The spelling of 10132111321000 in words is "ten trillion, one hundred thirty-two billion, one hundred eleven million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 349383149 698766298 1397532596 1746915745 2795065192 3493831490 6987662980 8734578725 10132111321 13975325960 17469157450 20264222642 34938314900 40528445284 43672893625 50660556605 69876629800 81056890568 87345787250 101321113210 174691574500 202642226420 253302783025 349383149000 405284452840 506605566050 1013211132100 1266513915125 2026422264200 2533027830250 5066055660500 10132111321000