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10130331201030 = 2335198167241793
BaseRepresentation
bin1001001101101010011011…
…0010101110111000000110
31022212110011012101020212000
42103122212302232320012
52311433404241413110
633313450535010130
72063615023311315
oct223324662567006
938773135336760
1010130331201030
113256281958407
1211773ab509946
135863948336a1
1427044c5b027c
151287a6dca1c0
hex936a6caee06

10130331201030 has 128 divisors (see below), whose sum is σ = 28439616844800. Its totient is φ = 2558917619712.

The previous prime is 10130331201007. The next prime is 10130331201047. The reversal of 10130331201030 is 3010213303101.

It is a happy number.

10130331201030 is a `hidden beast` number, since 1 + 0 + 130 + 331 + 201 + 0 + 3 + 0 = 666.

10130331201030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101303312010302 (a number of 27 digits) contains 22 as substring.

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 = 10130331200994 and 10130331201012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41775814 + ... + 42017606.

It is an arithmetic number, because the mean of its divisors is an integer number (222184506600).

Almost surely, 210130331201030 is an apocalyptic number.

10130331201030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130331201030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14219808422400).

10130331201030 is an abundant number, since it is smaller than the sum of its proper divisors (18309285643770).

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

10130331201030 is a wasteful number, since it uses less digits than its factorization.

10130331201030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249995 (or 249989 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10130331201030 its reverse (3010213303101), we get a palindrome (13140544504131).

The spelling of 10130331201030 in words is "ten trillion, one hundred thirty billion, three hundred thirty-one million, two hundred one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 8167 16334 24501 40835 49002 73503 81670 122505 147006 155173 220509 241793 245010 310346 367515 441018 465519 483586 725379 735030 775865 931038 1102545 1208965 1396557 1450758 1551730 2176137 2205090 2327595 2417930 2793114 3626895 4189671 4352274 4594067 4655190 6528411 6982785 7253790 8379342 9188134 10880685 13056822 13782201 13965570 20948355 21761370 22970335 27564402 32642055 41346603 41896710 45940670 65284110 68911005 82693206 124039809 137822010 206733015 248079618 413466030 620199045 1240398090 1974723431 3949446862 5924170293 9873617155 11848340586 17772510879 19747234310 29620851465 35545021758 37519745189 53317532637 59241702930 75039490378 88862554395 106635065274 112559235567 177725108790 187598725945 225118471134 266587663185 337677706701 375197451890 533175326370 562796177835 675355413402 1013033120103 1125592355670 1688388533505 2026066240206 3376777067010 5065165600515 10130331201030