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1231322003120 = 2451110131381273
BaseRepresentation
bin10001111010110000100…
…000101011011010110000
311100201020221120201201002
4101322300200223122300
5130133221413044440
62341354515501132
7154650210223256
oct21726040533260
94321227521632
101231322003120
11435223196690
1217a77b2b77a8
138c16181cb71
144384c3805d6
15220698ee115
hex11eb082b6b0

1231322003120 has 80 divisors (see below), whose sum is σ = 3126165617952. Its totient is φ = 447311124480.

The previous prime is 1231322003083. The next prime is 1231322003179. The reversal of 1231322003120 is 213002231321.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 1231322003092 and 1231322003101.

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, 200804 + ... + 1582076.

Almost surely, 21231322003120 is an apocalyptic number.

1231322003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231322003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563082808976).

1231322003120 is an abundant number, since it is smaller than the sum of its proper divisors (1894843614832).

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

1231322003120 is a wasteful number, since it uses less digits than its factorization.

1231322003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382310 (or 1382304 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1231322003120 its reverse (213002231321), we get a palindrome (1444324234441).

The spelling of 1231322003120 in words is "one trillion, two hundred thirty-one billion, three hundred twenty-two million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1013 2026 4052 5065 8104 10130 11143 16208 20260 22286 40520 44572 55715 81040 89144 111430 178288 222860 445720 891440 1381273 2762546 5525092 6906365 11050184 13812730 15194003 22100368 27625460 30388006 55250920 60776012 75970015 110501840 121552024 151940030 243104048 303880060 607760120 1215520240 1399229549 2798459098 5596918196 6996147745 11193836392 13992295490 15391525039 22387672784 27984590980 30783050078 55969181960 61566100156 76957625195 111938363920 123132200312 153915250390 246264400624 307830500780 615661001560 1231322003120