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1010240000982 = 232475360137489
BaseRepresentation
bin11101011001101101111…
…11110001001111010110
310120120121100210101001200
432230312333301033112
5113022432420012412
62052033045133330
7132662455216212
oct16546677611726
93516540711050
101010240000982
1135a493164223
1214395b3ba246
137435a907414
1436c78401942
151b42a7309dc
hexeb36ff13d6

1010240000982 has 96 divisors (see below), whose sum is σ = 2281453050240. Its totient is φ = 322816665600.

The previous prime is 1010240000911. The next prime is 1010240001013. The reversal of 1010240000982 is 2890000420101.

It is a super-2 number, since 2×10102400009822 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26928894 + ... + 26966382.

It is an arithmetic number, because the mean of its divisors is an integer number (23765135940).

Almost surely, 21010240000982 is an apocalyptic number.

1010240000982 is an abundant number, since it is smaller than the sum of its proper divisors (1271213049258).

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

1010240000982 is a wasteful number, since it uses less digits than its factorization.

1010240000982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38198 (or 38195 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1010240000982 in words is "one trillion, ten billion, two hundred forty million, nine hundred eighty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 47 53 94 106 141 159 282 318 423 477 601 846 954 1202 1803 2491 3606 4982 5409 7473 10818 14946 22419 28247 31853 37489 44838 56494 63706 74978 84741 95559 112467 169482 191118 224934 254223 286677 337401 508446 573354 674802 1497091 1761983 1986917 2994182 3523966 3973834 4491273 5285949 5960751 8982546 10571898 11921502 13473819 15857847 17882253 22530889 26947638 31715694 35764506 45061778 67592667 93385099 135185334 186770198 202778001 280155297 405556002 560310594 840465891 1058951783 1194137117 1680931782 2117903566 2388274234 3176855349 3582411351 6353710698 7164822702 9530566047 10747234053 19061132094 21494468106 56124444499 112248888998 168373333497 336746666994 505120000491 1010240000982