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10221301343040 = 263510647188899
BaseRepresentation
bin1001010010111101010100…
…0010010010001101000000
31100012010222001202021121220
42110233111002102031000
52314431211120434130
633423333452515040
72103315242621244
oct224572502221500
940163861667556
1010221301343040
113290914159557
121190b5917ba80
13591b3163a698
142749dc286424
1512ad2d4db410
hex94bd5092340

10221301343040 has 56 divisors (see below), whose sum is σ = 32452631767200. Its totient is φ = 2725680357888.

The previous prime is 10221301343017. The next prime is 10221301343093. The reversal of 10221301343040 is 4034310312201.

It is a happy number.

It is a super-2 number, since 2×102213013430402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10221301343040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5323593490 + ... + 5323595409.

Almost surely, 210221301343040 is an apocalyptic number.

10221301343040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221301343040 is an abundant number, since it is smaller than the sum of its proper divisors (22231330424160).

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

10221301343040 is a wasteful number, since it uses less digits than its factorization.

10221301343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10647188919 (or 10647188909 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10221301343040 its reverse (4034310312201), we get a palindrome (14255611655241).

The spelling of 10221301343040 in words is "ten trillion, two hundred twenty-one billion, three hundred one million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 10647188899 21294377798 31941566697 42588755596 53235944495 63883133394 85177511192 106471888990 127766266788 159707833485 170355022384 212943777980 255532533576 319415666970 340710044768 425887555960 511065067152 638831333940 681420089536 851775111920 1022130134304 1277662667880 1703550223840 2044260268608 2555325335760 3407100447680 5110650671520 10221301343040