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233320023023120 = 245112956316239137
BaseRepresentation
bin110101000011010000001101…
…000101110101111000010000
31010121010011202120101002021122
4311003100031011311320100
5221040203401343214440
62144121423332141412
7100100546451050255
oct6503201505657020
91117104676332248
10233320023023120
11683855143a0a70
1222202b97767868
13a025ca34359a7
144188a6c3a542c
151be92c8a337b5
hexd4340d175e10

233320023023120 has 160 divisors (see below), whose sum is σ = 613278191790720. Its totient is φ = 81772494110720.

The previous prime is 233320023023099. The next prime is 233320023023147. The reversal of 233320023023120 is 21320320023332.

It is a self number, because there is not a number n which added to its sum of digits gives 233320023023120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6248192 + ... + 22487328.

It is an arithmetic number, because the mean of its divisors is an integer number (3832988698692).

Almost surely, 2233320023023120 is an apocalyptic number.

233320023023120 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 233320023023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306639095895360).

233320023023120 is an abundant number, since it is smaller than the sum of its proper divisors (379958168767600).

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

233320023023120 is a wasteful number, since it uses less digits than its factorization.

233320023023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16239753 (or 16239747 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 233320023023120 its reverse (21320320023332), we get a palindrome (254640343046452).

The spelling of 233320023023120 in words is "two hundred thirty-three trillion, three hundred twenty billion, twenty-three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 563 580 638 880 1126 1160 1276 1595 2252 2320 2552 2815 3190 4504 5104 5630 6193 6380 9008 11260 12386 12760 16327 22520 24772 25520 30965 32654 45040 49544 61930 65308 81635 99088 123860 130616 163270 179597 247720 261232 326540 359194 495440 653080 718388 897985 1306160 1436776 1795970 2873552 3591940 7183880 14367760 16239137 32478274 64956548 81195685 129913096 162391370 178630507 259826192 324782740 357261014 470934973 649565480 714522028 893152535 941869946 1299130960 1429044056 1786305070 1883739892 2354674865 2858088112 3572610140 3767479784 4709349730 5180284703 7145220280 7534959568 9142634131 9418699460 10360569406 14290440560 18285268262 18837398920 20721138812 25901423515 36570536524 37674797840 41442277624 45713170655 51802847030 73141073048 82884555248 91426341310 100568975441 103605694060 146282146096 182852682620 201137950882 207211388120 265136389799 365705365240 402275901764 414422776240 502844877205 530272779598 731410730480 804551803528 1005689754410 1060545559196 1325681948995 1609103607056 2011379508820 2121091118392 2651363897990 2916500287789 4022759017640 4242182236784 5302727795980 5833000575578 8045518035280 10605455591960 11666001151156 14582501438945 21210911183920 23332002302312 29165002877890 46664004604624 58330005755780 116660011511560 233320023023120