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42131210220 = 223251121934399
BaseRepresentation
bin100111001111001101…
…110011111111101100
311000202012022020022100
4213033031303333230
51142241042211340
631204350015100
73021023243451
oct471715637754
9130665266270
1042131210220
111695aa73900
1281b97a7490
133c8577a1b8
14207965d828
151168b66830
hex9cf373fec

42131210220 has 108 divisors (see below), whose sum is σ = 140472259200. Its totient is φ = 10213621440.

The previous prime is 42131210201. The next prime is 42131210221. The reversal of 42131210220 is 2201213124.

It is a happy number.

42131210220 is a `hidden beast` number, since 421 + 3 + 1 + 21 + 0 + 220 = 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 = 42131210193 and 42131210202.

It is not an unprimeable number, because it can be changed into a prime (42131210221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 945420 + ... + 988979.

Almost surely, 242131210220 is an apocalyptic number.

It is an amenable number.

42131210220 is an abundant number, since it is smaller than the sum of its proper divisors (98341048980).

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

42131210220 is a wasteful number, since it uses less digits than its factorization.

42131210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934436 (or 1934420 counting only the distinct ones).

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

Adding to 42131210220 its reverse (2201213124), we get a palindrome (44332423344).

The spelling of 42131210220 in words is "forty-two billion, one hundred thirty-one million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 1934399 3868798 5803197 7737596 9671995 11606394 17409591 19343990 21278389 23212788 29015985 34819182 38687980 42556778 58031970 63835167 69638364 85113556 87047955 106391945 116063940 127670334 174095910 191505501 212783890 234062279 255340668 319175835 348191820 383011002 425567780 468124558 638351670 702186837 766022004 936249116 957527505 1170311395 1276703340 1404373674 1915055010 2106560511 2340622790 2808747348 3510934185 3830110020 4213121022 4681245580 7021868370 8426242044 10532802555 14043736740 21065605110 42131210220