Search a number
-
+
10132411303100 = 22521746103129281
BaseRepresentation
bin1001001101110010001011…
…0001101100010010111100
31022212122112011110101110102
42103130202301230102330
52312002134243144400
633314433202500232
72064020412012662
oct223344261542274
938778464411412
1010132411303100
11325714a035929
121177890064678
13586636775708
142705a895ac32
151288798119d5
hex93722c6c4bc

10132411303100 has 72 divisors (see below), whose sum is σ = 23281390083168. Its totient is φ = 3814442598400.

The previous prime is 10132411303093. The next prime is 10132411303159. The reversal of 10132411303100 is 130311423101.

It is a super-2 number, since 2×101324113031002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 78310460 + ... + 78439740.

It is an arithmetic number, because the mean of its divisors is an integer number (323352640044).

Almost surely, 210132411303100 is an apocalyptic number.

10132411303100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132411303100 is an abundant number, since it is smaller than the sum of its proper divisors (13148978780068).

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

10132411303100 is a wasteful number, since it uses less digits than its factorization.

10132411303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175415 (or 175408 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10132411303100 its reverse (130311423101), we get a palindrome (10262722726201).

The spelling of 10132411303100 in words is "ten trillion, one hundred thirty-two billion, four hundred eleven million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 46103 92206 129281 184412 230515 258562 461030 517124 646405 783751 922060 1152575 1292810 1567502 2197777 2305150 2585620 3135004 3232025 3918755 4395554 4610300 6464050 7837510 8791108 10988885 12928100 15675020 19593775 21977770 39187550 43955540 54944425 78375100 109888850 219777700 5960241943 11920483886 23840967772 29801209715 59602419430 101324113031 119204838860 149006048575 202648226062 298012097150 405296452124 506620565155 596024194300 1013241130310 2026482260620 2533102825775 5066205651550 10132411303100