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21233312112300 = 22352432815857627
BaseRepresentation
bin1001101001111110001000…
…00001101001111010101100
32210011212220000210020221020
410310333010001221322230
510240341310400043200
6113054240544534140
74321025161013601
oct464770401517254
983155800706836
1021233312112300
116846aa7155152
12246b1a9321350
13bb03a61c6ca2
145359aaa406a8
1526c4d9341ea0
hex134fc4069eac

21233312112300 has 144 divisors (see below), whose sum is σ = 63087497058432. Its totient is φ = 5510854540800.

The previous prime is 21233312112263. The next prime is 21233312112377. The reversal of 21233312112300 is 321121333212.

It is a super-2 number, since 2×212333121123002 (a number of 27 digits) contains 22 as substring.

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, 696087 + ... + 6553713.

Almost surely, 221233312112300 is an apocalyptic number.

21233312112300 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 21233312112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31543748529216).

21233312112300 is an abundant number, since it is smaller than the sum of its proper divisors (41854184946132).

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

21233312112300 is a wasteful number, since it uses less digits than its factorization.

21233312112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857968 (or 5857961 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21233312112300 its reverse (321121333212), we get a palindrome (21554433445512).

The spelling of 21233312112300 in words is "twenty-one trillion, two hundred thirty-three billion, three hundred twelve million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 281 300 430 516 562 645 843 860 1075 1124 1290 1405 1686 2150 2580 2810 3225 3372 4215 4300 5620 6450 7025 8430 12083 12900 14050 16860 21075 24166 28100 36249 42150 48332 60415 72498 84300 120830 144996 181245 241660 302075 362490 604150 724980 906225 1208300 1812450 3624900 5857627 11715254 17572881 23430508 29288135 35145762 58576270 70291524 87864405 117152540 146440675 175728810 251877961 292881350 351457620 439322025 503755922 585762700 755633883 878644050 1007511844 1259389805 1511267766 1645993187 1757288100 2518779610 3022535532 3291986374 3778169415 4937979561 5037559220 6296949025 6583972748 7556338830 8229965935 9875959122 12593898050 15112677660 16459931870 18890847075 19751918244 24689897805 25187796100 32919863740 37781694150 41149829675 49379795610 70777707041 75563388300 82299659350 98759591220 123449489025 141555414082 164599318700 212333121123 246898978050 283110828164 353888535205 424666242246 493797956100 707777070410 849332484492 1061665605615 1415554140820 1769442676025 2123331211230 3538885352050 4246662422460 5308328028075 7077770704100 10616656056150 21233312112300