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10242316020 = 22356110972551
BaseRepresentation
bin10011000100111110…
…10101011011110100
3222102210201120012210
421202133111123310
5131434013103040
64412200213420
7511546151436
oct114237253364
928383646183
1010242316020
11438657a692
121b9a16a270
13c72c6c531
146d23dc656
153ee2c5480
hex2627d56f4

10242316020 has 96 divisors (see below), whose sum is σ = 29186631936. Its totient is φ = 2683008000.

The previous prime is 10242316013. The next prime is 10242316033. The reversal of 10242316020 is 2061324201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4013745 + ... + 4016295.

It is an arithmetic number, because the mean of its divisors is an integer number (304027416).

Almost surely, 210242316020 is an apocalyptic number.

10242316020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10242316020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593315968).

10242316020 is an abundant number, since it is smaller than the sum of its proper divisors (18944315916).

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

10242316020 is a wasteful number, since it uses less digits than its factorization.

10242316020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 10242316020 in words is "ten billion, two hundred forty-two million, three hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1097 1220 1830 2194 2551 3291 3660 4388 5102 5485 6582 7653 10204 10970 12755 13164 15306 16455 21940 25510 30612 32910 38265 51020 65820 66917 76530 133834 153060 155611 200751 267668 311222 334585 401502 466833 622444 669170 778055 803004 933666 1003755 1338340 1556110 1867332 2007510 2334165 2798447 3112220 4015020 4668330 5596894 8395341 9336660 11193788 13992235 16790682 27984470 33581364 41976705 55968940 83953410 167906820 170705267 341410534 512115801 682821068 853526335 1024231602 1707052670 2048463204 2560579005 3414105340 5121158010 10242316020