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2231120100 = 22352116710091
BaseRepresentation
bin1000010011111100…
…0011000011100100
312202111020122101210
42010333003003210
514032131320400
61005220351420
7106201131216
oct20477030344
95674218353
102231120100
11a45455610
12523245570
13297309411
1417245c5b6
15d0d17950
hex84fc30e4

2231120100 has 144 divisors (see below), whose sum is σ = 7148042496. Its totient is φ = 532752000.

The previous prime is 2231120077. The next prime is 2231120131. The reversal of 2231120100 is 10211322.

It is a super-3 number, since 3×22311201003 (a number of 29 digits) contains 333 as substring.

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

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, 216055 + ... + 226145.

It is an arithmetic number, because the mean of its divisors is an integer number (49639184).

Almost surely, 22231120100 is an apocalyptic number.

2231120100 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 2231120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574021248).

2231120100 is an abundant number, since it is smaller than the sum of its proper divisors (4916922396).

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

2231120100 is a wasteful number, since it uses less digits than its factorization.

2231120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10186 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2231120100 is about 47234.7340418044. The cubic root of 2231120100 is about 1306.6952616203.

Adding to 2231120100 its reverse (10211322), we get a palindrome (2241331422).

The spelling of 2231120100 in words is "two billion, two hundred thirty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 67 75 100 110 132 134 150 165 201 220 268 275 300 330 335 402 550 660 670 737 804 825 1005 1100 1340 1474 1650 1675 2010 2211 2948 3300 3350 3685 4020 4422 5025 6700 7370 8844 10050 10091 11055 14740 18425 20100 20182 22110 30273 36850 40364 44220 50455 55275 60546 73700 100910 110550 111001 121092 151365 201820 221100 222002 252275 302730 333003 444004 504550 555005 605460 666006 676097 756825 1009100 1110010 1332012 1352194 1513650 1665015 2028291 2220020 2704388 2775025 3027300 3330030 3380485 4056582 5550050 6660060 6760970 7437067 8113164 8325075 10141455 11100100 13521940 14874134 16650150 16902425 20282910 22311201 29748268 33300300 33804850 37185335 40565820 44622402 50707275 67609700 74370670 89244804 101414550 111556005 148741340 185926675 202829100 223112010 371853350 446224020 557780025 743706700 1115560050 2231120100