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100000500001000 = 23531711352056481
BaseRepresentation
bin10110101111001100101110…
…010001111010100011101000
3111010001221202210011012201021
4112233030232101322203220
5101101402011000013000
6552403332343302224
730030540420112144
oct2657145621724350
9433057683135637
10100000500001000
1129954a79274345
12b27092514a974
1343a50118cb621
141a9a09b3a8224
15b8639863811a
hex5af32e47a8e8

100000500001000 has 128 divisors (see below), whose sum is σ = 249958568489760. Its totient is φ = 37314084864000.

The previous prime is 100000500000977. The next prime is 100000500001009. The reversal of 100000500001000 is 100005000001.

It can be written as a sum of positive squares in 16 ways, for example, as 60000516 + 100000440000484 = 7746^2 + 10000022^2 .

It is not an unprimeable number, because it can be changed into a prime (100000500001009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24107241 + ... + 27949240.

Almost surely, 2100000500001000 is an apocalyptic number.

100000500001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000500001000 is an abundant number, since it is smaller than the sum of its proper divisors (149958068488760).

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

100000500001000 is a wasteful number, since it uses less digits than its factorization.

100000500001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52056632 (or 52056618 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

Adding to 100000500001000 its reverse (100005000001), we get a palindrome (100100505001001).

The spelling of 100000500001000 in words is "one hundred trillion, five hundred million, one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 113 125 136 170 200 226 250 340 425 452 500 565 680 850 904 1000 1130 1700 1921 2125 2260 2825 3400 3842 4250 4520 5650 7684 8500 9605 11300 14125 15368 17000 19210 22600 28250 38420 48025 56500 76840 96050 113000 192100 240125 384200 480250 960500 1921000 52056481 104112962 208225924 260282405 416451848 520564810 884960177 1041129620 1301412025 1769920354 2082259240 2602824050 3539840708 4424800885 5205648100 5882382353 6507060125 7079681416 8849601770 10411296200 11764764706 13014120250 17699203540 22124004425 23529529412 26028240500 29411911765 35398407080 44248008850 47059058824 52056481000 58823823530 88496017700 100000500001 110620022125 117647647060 147059558825 176992035400 200001000002 221240044250 235295294120 294119117650 400002000004 442480088500 500002500005 588238235300 735297794125 800004000008 884960177000 1000005000010 1176476470600 1470595588250 2000010000020 2500012500025 2941191176500 4000020000040 5000025000050 5882382353000 10000050000100 12500062500125 20000100000200 25000125000250 50000250000500 100000500001000