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2011232112320 = 265571100910909
BaseRepresentation
bin11101010001000110110…
…001101000111011000000
321010021100020001021110002
4131101012301220323000
5230423000410043240
64135540340055132
7265210130612144
oct35210661507300
97107306037402
102011232112320
11705a60105042
122859596944a8
131178735aa592
146d4b6501224
15374b411ad15
hex1d446c68ec0

2011232112320 has 112 divisors (see below), whose sum is σ = 4802829002400. Its totient is φ = 802214461440.

The previous prime is 2011232112317. The next prime is 2011232112367. The reversal of 2011232112320 is 232112321102.

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 = 2011232112292 and 2011232112301.

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, 184359026 + ... + 184369934.

Almost surely, 22011232112320 is an apocalyptic number.

2011232112320 is a gapful number since it is divisible by the number (20) 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 2011232112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401414501200).

2011232112320 is an abundant number, since it is smaller than the sum of its proper divisors (2791596890080).

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

2011232112320 is a wasteful number, since it uses less digits than its factorization.

2011232112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12506 (or 12496 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2011232112320 its reverse (232112321102), we get a palindrome (2243344433422).

The spelling of 2011232112320 in words is "two trillion, eleven billion, two hundred thirty-two million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 571 1009 1142 2018 2284 2855 4036 4568 5045 5710 8072 9136 10090 10909 11420 16144 18272 20180 21818 22840 32288 36544 40360 43636 45680 54545 64576 80720 87272 91360 109090 161440 174544 182720 218180 322880 349088 436360 576139 698176 872720 1152278 1745440 2304556 2880695 3490880 4609112 5761390 6229039 9218224 11007181 11522780 12458078 18436448 22014362 23045560 24916156 31145195 36872896 44028724 46091120 49832312 55035905 62290390 88057448 92182240 99664624 110071810 124580780 176114896 184364480 199329248 220143620 249161560 352229792 398658496 440287240 498323120 704459584 880574480 996646240 1761148960 1993292480 3522297920 6285100351 12570200702 25140401404 31425501755 50280802808 62851003510 100561605616 125702007020 201123211232 251404014040 402246422464 502808028080 1005616056160 2011232112320