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2131100110020 = 223572838733301
BaseRepresentation
bin11111000000101111011…
…101110000110011000100
321112201202000211110211110
4133000233131300303010
5234403443112010040
64311002555205020
7306652435024200
oct37005735606304
97481660743743
102131100110020
117518814aa952
122a5031146770
13125c6732797b
14752080c5b00
153a67c6e9980
hex1f02f770cc4

2131100110020 has 144 divisors (see below), whose sum is σ = 7024928395968. Its totient is φ = 481239763200.

The previous prime is 2131100110003. The next prime is 2131100110031. The reversal of 2131100110020 is 200110011312.

It is a super-2 number, since 2×21311001100202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2131100109978 and 2131100110005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4122631 + ... + 4610670.

It is an arithmetic number, because the mean of its divisors is an integer number (48784224972).

Almost surely, 22131100110020 is an apocalyptic number.

2131100110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131100110020 is an abundant number, since it is smaller than the sum of its proper divisors (4893828285948).

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

2131100110020 is a wasteful number, since it uses less digits than its factorization.

2131100110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733410 (or 8733401 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 2131100110020 its reverse (200110011312), we get a palindrome (2331210121332).

The spelling of 2131100110020 in words is "two trillion, one hundred thirty-one billion, one hundred million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 83 84 98 105 140 147 166 196 210 245 249 294 332 415 420 490 498 581 588 735 830 980 996 1162 1245 1470 1660 1743 2324 2490 2905 2940 3486 4067 4980 5810 6972 8134 8715 11620 12201 16268 17430 20335 24402 34860 40670 48804 61005 81340 122010 244020 8733301 17466602 26199903 34933204 43666505 52399806 61133107 87333010 104799612 122266214 130999515 174666020 183399321 244532428 261999030 305665535 366798642 427931749 523998060 611331070 724863983 733597284 855863498 916996605 1222662140 1283795247 1449727966 1711726996 1833993210 2139658745 2174591949 2567590494 2899455932 3624319915 3667986420 4279317490 4349183898 5074047881 5135180988 6418976235 7248639830 8558634980 8698367796 10148095762 10872959745 12837952470 14497279660 15222143643 20296191524 21745919490 25370239405 25675904940 30444287286 35518335167 43491838980 50740478810 60888574572 71036670334 76110718215 101480957620 106555005501 142073340668 152221436430 177591675835 213110011002 304442872860 355183351670 426220022004 532775027505 710366703340 1065550055010 2131100110020