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42323233011020 = 225133731713878563
BaseRepresentation
bin10011001111110001001010…
…10001001111010101001100
312112212001122212201010122022
421213320211101033111030
521021410440122323040
6230003005210305312
711625516111600233
oct1147704521172514
9175761585633568
1042323233011020
1112538200741205
1248b6639128238
131a800aa091520
14a646538d1b1a
154d5dced936b5
hex267e2544f54c

42323233011020 has 96 divisors (see below), whose sum is σ = 98612637617088. Its totient is φ = 15156722045952.

The previous prime is 42323233010887. The next prime is 42323233011023. The reversal of 42323233011020 is 2011033232324.

It is a happy number.

42323233011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×423232330110203 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (42323233011023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3889742 + ... + 9988821.

It is an arithmetic number, because the mean of its divisors is an integer number (1027214975178).

Almost surely, 242323233011020 is an apocalyptic number.

It is an amenable number.

42323233011020 is an abundant number, since it is smaller than the sum of its proper divisors (56289404606068).

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

42323233011020 is a wasteful number, since it uses less digits than its factorization.

42323233011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13878939 (or 13878937 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 42323233011020 its reverse (2011033232324), we get a palindrome (44334266243344).

The spelling of 42323233011020 in words is "forty-two trillion, three hundred twenty-three billion, two hundred thirty-three million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 317 370 481 634 740 962 1268 1585 1924 2405 3170 4121 4810 6340 8242 9620 11729 16484 20605 23458 41210 46916 58645 82420 117290 152477 234580 304954 609908 762385 1524770 3049540 13878563 27757126 55514252 69392815 138785630 180421319 277571260 360842638 513506831 721685276 902106595 1027013662 1804213190 2054027324 2567534155 3608426380 4399504471 5135068310 6675588803 8799008942 10270136620 13351177606 17598017884 21997522355 26702355212 33377944015 43995044710 57193558123 66755888030 87990089420 114387116246 133511776060 162781665427 228774232492 285967790615 325563330854 571935581230 651126661708 813908327135 1143871162460 1627816654270 2116161650551 3255633308540 4232323301102 8464646602204 10580808252755 21161616505510 42323233011020