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40221240102010 = 25111989412952369
BaseRepresentation
bin10010010010100101111001…
…01110101000110001111010
312021102010001101012200012201
421021102330232220301322
520232441044431231020
6221313214351300414
711320613552634262
oct1111227456506172
9167363041180181
1040221240102010
11118a7806521290
12461718bb1a70a
131959b01186b26
149d0a0b4507a2
1549b3a7c19a0a
hex2494bcba8c7a

40221240102010 has 128 divisors (see below), whose sum is σ = 84092813280000. Its totient is φ = 13696854589440.

The previous prime is 40221240102007. The next prime is 40221240102011. The reversal of 40221240102010 is 1020104212204.

40221240102010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (40221240102011) 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 63 ways as a sum of consecutive naturals, for example, 768009106 + ... + 768061474.

It is an arithmetic number, because the mean of its divisors is an integer number (656975103750).

Almost surely, 240221240102010 is an apocalyptic number.

40221240102010 is an abundant number, since it is smaller than the sum of its proper divisors (43871573177990).

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

40221240102010 is a wasteful number, since it uses less digits than its factorization.

40221240102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56624.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 40221240102010 its reverse (1020104212204), we get a palindrome (41241344314214).

The spelling of 40221240102010 in words is "forty trillion, two hundred twenty-one billion, two hundred forty million, one hundred two thousand, ten".

Divisors: 1 2 5 10 11 19 22 38 55 89 95 110 178 190 209 418 445 890 979 1045 1691 1958 2090 3382 4129 4895 8258 8455 9790 16910 18601 20645 37202 41290 45419 52369 78451 90838 93005 104738 156902 186010 227095 261845 367481 392255 454190 523690 576059 734962 784510 862961 995011 1152118 1725922 1837405 1990022 2880295 3674810 4042291 4314805 4660841 4975055 5760590 6982139 8084582 8629610 9321682 9950110 10945121 13964278 20211455 21890242 23304205 34910695 40422910 46608410 51269251 54725605 69821390 76803529 88555979 102538502 109451210 153607058 177111958 216231601 256346255 384017645 432463202 442779895 512692510 768035290 885559790 974115769 1081158005 1948231538 2162316010 2378547611 4108400419 4757095222 4870578845 8216800838 9741157690 11892738055 19244612489 20542002095 23785476110 38489224978 41084004190 45192404609 90384809218 96223062445 192446124890 211690737379 225962023045 365647637291 423381474758 451924046090 731295274582 1058453686895 1828238186455 2116907373790 3656476372910 4022124010201 8044248020402 20110620051005 40221240102010