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23132203111200 = 2535222814225523
BaseRepresentation
bin1010100001001111000101…
…01111111101001100100000
310000220102021000012200010210
411100213202233331030200
511012444222444024300
6121110442025054120
74605150362131041
oct520474257751440
9100812230180123
1023132203111200
1174093486679a7
122717214027340
13cba485268c51
1459d86706a8c8
152a1ac5a72050
hex1509e2bfd320

23132203111200 has 144 divisors (see below), whose sum is σ = 75328348739616. Its totient is φ = 6165881702400.

The previous prime is 23132203111183. The next prime is 23132203111217. The reversal of 23132203111200 is 211130223132.

It is an interprime number because it is at equal distance from previous prime (23132203111183) and next prime (23132203111217).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3361639 + ... + 7587161.

It is an arithmetic number, because the mean of its divisors is an integer number (523113532914).

Almost surely, 223132203111200 is an apocalyptic number.

23132203111200 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 23132203111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37664174369808).

23132203111200 is an abundant number, since it is smaller than the sum of its proper divisors (52196145628416).

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

23132203111200 is a wasteful number, since it uses less digits than its factorization.

23132203111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227827 (or 4227814 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 23132203111200 its reverse (211130223132), we get a palindrome (23343333334332).

The spelling of 23132203111200 in words is "twenty-three trillion, one hundred thirty-two billion, two hundred three million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2281 2400 4562 6843 9124 11405 13686 18248 22810 27372 34215 36496 45620 54744 57025 68430 72992 91240 109488 114050 136860 171075 182480 218976 228100 273720 342150 364960 456200 547440 684300 912400 1094880 1368600 1824800 2737200 4225523 5474400 8451046 12676569 16902092 21127615 25353138 33804184 42255230 50706276 63382845 67608368 84510460 101412552 105638075 126765690 135216736 169020920 202825104 211276150 253531380 316914225 338041840 405650208 422552300 507062760 633828450 676083680 845104600 1014125520 1267656900 1690209200 2028251040 2535313800 3380418400 5070627600 9638417963 10141255200 19276835926 28915253889 38553671852 48192089815 57830507778 77107343704 96384179630 115661015556 144576269445 154214687408 192768359260 231322031112 240960449075 289152538890 308429374816 385536718520 462644062224 481920898150 578305077780 722881347225 771073437040 925288124448 963841796300 1156610155560 1445762694450 1542146874080 1927683592600 2313220311120 2891525388900 3855367185200 4626440622240 5783050777800 7710734370400 11566101555600 23132203111200