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12320212311100 = 22521949116278117
BaseRepresentation
bin1011001101001000010111…
…1000001101110000111100
31121121210121210000220212101
42303102011320031300330
53103323243322423400
642111454415114444
72411051226522511
oct263220570156074
947553553026771
1012320212311100
113a1aa77731641
12146b8a6212a24
136b4a38ba0b95
143084312b1308
15165724cd756a
hexb3485e0dc3c

12320212311100 has 144 divisors (see below), whose sum is σ = 28220082549120. Its totient is φ = 4655766124800.

The previous prime is 12320212311061. The next prime is 12320212311101. The reversal of 12320212311100 is 111321202321.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320212311101) 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, 1517824242 + ... + 1517832358.

It is an arithmetic number, because the mean of its divisors is an integer number (195972795480).

Almost surely, 212320212311100 is an apocalyptic number.

12320212311100 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 12320212311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14110041274560).

12320212311100 is an abundant number, since it is smaller than the sum of its proper divisors (15899870238020).

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

12320212311100 is a wasteful number, since it uses less digits than its factorization.

12320212311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10268 (or 10261 counting only the distinct ones).

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

Adding to 12320212311100 its reverse (111321202321), we get a palindrome (12431533513421).

The spelling of 12320212311100 in words is "twelve trillion, three hundred twenty billion, two hundred twelve million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 491 950 982 1627 1900 1964 2455 3254 4910 6508 8117 8135 9329 9820 12275 16234 16270 18658 24550 30913 32468 32540 37316 40585 40675 46645 49100 61826 81170 81350 93290 123652 154223 154565 162340 162700 186580 202925 233225 308446 309130 405850 466450 616892 618260 771115 772825 798857 811700 932900 1542230 1545650 1597714 3084460 3091300 3195428 3855575 3985447 3994285 7711150 7970894 7988570 13206359 15178283 15422300 15941788 15977140 19927235 19971425 26412718 30356566 39854470 39942850 52825436 60713132 66031795 75723493 75891415 79708940 79885700 99636175 132063590 151446986 151782830 199272350 250920821 264127180 302893972 303565660 330158975 378617465 379457075 398544700 501841642 660317950 757234930 758914150 1003683284 1254604105 1320635900 1514469860 1517828300 1893087325 2509208210 3786174650 5018416420 6273020525 6484322269 7572349300 12546041050 12968644538 25092082100 25937289076 32421611345 64843222690 123202123111 129686445380 162108056725 246404246222 324216113450 492808492444 616010615555 648432226900 1232021231110 2464042462220 3080053077775 6160106155550 12320212311100