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61121285130280 = 23587712011450741
BaseRepresentation
bin11011110010110111010000…
…11111010000100000101000
322000102010201110011221021111
431321123220133100200220
531002402342443132110
6333554421502120104
715605603265326404
oct1571335037204050
9260363643157244
1061121285130280
1118525434033561
126a3186a880034
1328149353610bb
141114400a56104
1570ed89023e8a
hex3796e87d0828

61121285130280 has 64 divisors (see below), whose sum is σ = 137794434673680. Its totient is φ = 24400286208000.

The previous prime is 61121285130263. The next prime is 61121285130289. The reversal of 61121285130280 is 8203158212116.

61121285130280 is digitally balanced in base 5 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 21391383506724 + 39729901623556 = 4625082^2 + 6303166^2 .

It is a super-2 number, since 2×611212851302802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (61121285130289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41405710 + ... + 42856450.

Almost surely, 261121285130280 is an apocalyptic number.

It is an amenable number.

61121285130280 is an abundant number, since it is smaller than the sum of its proper divisors (76673149543400).

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

61121285130280 is a wasteful number, since it uses less digits than its factorization.

61121285130280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452830 (or 1452826 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 61121285130280 in words is "sixty-one trillion, one hundred twenty-one billion, two hundred eighty-five million, one hundred thirty thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 877 1201 1754 2402 3508 4385 4804 6005 7016 8770 9608 12010 17540 24020 35080 48040 1053277 1450741 2106554 2901482 4213108 5266385 5802964 7253705 8426216 10532770 11605928 14507410 21065540 29014820 42131080 58029640 1272299857 1742339941 2544599714 3484679882 5089199428 6361499285 6969359764 8711699705 10178398856 12722998570 13938719528 17423399410 25445997140 34846798820 50891994280 69693597640 1528032128257 3056064256514 6112128513028 7640160641285 12224257026056 15280321282570 30560642565140 61121285130280