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42311221020 = 22335131598123
BaseRepresentation
bin100111011001111100…
…011111111100011100
311001012202000201201000
4213121330133330130
51143123133033040
631234300150300
73025340305335
oct473174377434
9131182021630
1042311221020
1116a42643662
128249b38390
133cb3b55c73
14209551b28c
151179873130
hex9d9f1ff1c

42311221020 has 96 divisors (see below), whose sum is σ = 132639978240. Its totient is φ = 11196843840.

The previous prime is 42311221019. The next prime is 42311221027. The reversal of 42311221020 is 2012211324.

It is a happy number.

42311221020 is a `hidden beast` number, since 423 + 1 + 1 + 221 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42311220984 and 42311221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42311221027) 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, 228322 + ... + 369801.

It is an arithmetic number, because the mean of its divisors is an integer number (1381666440).

Almost surely, 242311221020 is an apocalyptic number.

It is an amenable number.

42311221020 is an abundant number, since it is smaller than the sum of its proper divisors (90328757220).

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

42311221020 is a wasteful number, since it uses less digits than its factorization.

42311221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598272 (or 598264 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42311221020 its reverse (2012211324), we get a palindrome (44323432344).

The spelling of 42311221020 in words is "forty-two billion, three hundred eleven million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 131 135 180 262 270 393 524 540 655 786 1179 1310 1572 1965 2358 2620 3537 3930 4716 5895 7074 7860 11790 14148 17685 23580 35370 70740 598123 1196246 1794369 2392492 2990615 3588738 5383107 5981230 7177476 8971845 10766214 11962460 16149321 17943690 21532428 26915535 32298642 35887380 53831070 64597284 78354113 80746605 107662140 156708226 161493210 235062339 313416452 322986420 391770565 470124678 705187017 783541130 940249356 1175311695 1410374034 1567082260 2115561051 2350623390 2820748068 3525935085 4231122102 4701246780 7051870170 8462244204 10577805255 14103740340 21155610510 42311221020