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23300442034340 = 2255341963238297
BaseRepresentation
bin1010100110001000011101…
…00100100001000010100100
310001111111111212102110222012
411103010032210201002210
511023223301130044330
6121320024133053352
74623254450313242
oct523041644410244
9101444455373865
1023300442034340
1174737310a5a49
122743946a87258
1310002b73b0603
145a7a66c7d792
152a61709a1c95
hex15310e9210a4

23300442034340 has 96 divisors (see below), whose sum is σ = 49987064373120. Its totient is φ = 9119958189056.

The previous prime is 23300442034333. The next prime is 23300442034451. The reversal of 23300442034340 is 4343024400332.

It is a junction number, because it is equal to n+sod(n) for n = 23300442034297 and 23300442034306.

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, 2808293072 + ... + 2808301368.

It is an arithmetic number, because the mean of its divisors is an integer number (520698587220).

Almost surely, 223300442034340 is an apocalyptic number.

23300442034340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23300442034340 is an abundant number, since it is smaller than the sum of its proper divisors (26686622338780).

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

23300442034340 is a wasteful number, since it uses less digits than its factorization.

23300442034340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15101 (or 15099 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 23300442034340 its reverse (4343024400332), we get a palindrome (27643466434672).

The spelling of 23300442034340 in words is "twenty-three trillion, three hundred billion, four hundred forty-two million, thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 419 530 838 1060 1676 2095 4190 6323 8297 8380 12646 16594 22207 25292 31615 33188 41485 44414 63230 82970 88828 111035 126460 165940 222070 335119 439741 444140 670238 879482 1340476 1675595 1758964 2198705 2649337 3351190 3476443 4397410 5298674 6702380 6952886 8794820 10597348 13246685 13905772 17382215 26493370 34764430 52461931 52986740 69528860 104923862 140414861 184251479 209847724 262309655 280829722 368502958 524619310 561659444 702074305 737005916 921257395 1049238620 1404148610 1842514790 2780482343 2808297220 3685029580 5560964686 11121929372 13902411715 21981549089 27804823430 43963098178 55609646860 87926196356 109907745445 219815490890 439630981780 1165022101717 2330044203434 4660088406868 5825110508585 11650221017170 23300442034340