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1123212312100 = 2252472112334861
BaseRepresentation
bin10000010110000100101…
…010111011111000100100
310222101012121010101202201
4100112010222323320210
5121400314322441400
62215555133544244
7144102151060564
oct20260452737044
93871177111681
101123212312100
113a33960826aa
12161829645084
1381bc2b427a8
143c514260da4
151e33d74d06a
hex10584abbe24

1123212312100 has 144 divisors (see below), whose sum is σ = 2512277703936. Its totient is φ = 435673728000.

The previous prime is 1123212312043. The next prime is 1123212312107. The reversal of 1123212312100 is 12132123211.

It is not an unprimeable number, because it can be changed into a prime (1123212312107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231063670 + ... + 231068530.

It is an arithmetic number, because the mean of its divisors is an integer number (17446372944).

Almost surely, 21123212312100 is an apocalyptic number.

1123212312100 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 1123212312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256138851968).

1123212312100 is an abundant number, since it is smaller than the sum of its proper divisors (1389065391836).

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

1123212312100 is a wasteful number, since it uses less digits than its factorization.

1123212312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1123212312100 its reverse (12132123211), we get a palindrome (1135344435311).

The spelling of 1123212312100 in words is "one trillion, one hundred twenty-three billion, two hundred twelve million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 211 233 235 422 466 470 844 932 940 1055 1165 1175 2110 2330 2350 4220 4660 4700 4861 5275 5825 9722 9917 10550 10951 11650 19444 19834 21100 21902 23300 24305 39668 43804 48610 49163 49585 54755 97220 98326 99170 109510 121525 196652 198340 219020 228467 243050 245815 247925 273775 456934 486100 491630 495850 547550 913868 983260 991700 1025671 1095100 1132613 1142335 1229075 2051342 2265226 2284670 2310661 2458150 4102684 4530452 4569340 4621322 4916300 5128355 5663065 5711675 9242644 10256710 11326130 11423350 11553305 20513420 22652260 22846700 23106610 25641775 28315325 46213220 48206537 51283550 53232811 56630650 57766525 96413074 102567100 106465622 113261300 115533050 192826148 212931244 231066100 238981343 241032685 266164055 477962686 482065370 532328110 955925372 964130740 1064656220 1194906715 1205163425 1330820275 2389813430 2410326850 2661640550 4779626860 4820653700 5323281100 5974533575 11232123121 11949067150 22464246242 23898134300 44928492484 56160615605 112321231210 224642462420 280803078025 561606156050 1123212312100