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10991140600 = 23521141121853
BaseRepresentation
bin10100011110001111…
…10111111011111000
31001100222202210102111
422033013313323320
5140002212444400
65014350142104
7536241103456
oct121707677370
931328683374
1010991140600
114730237680
122168ab1934
131062144cbb
14763a459d6
15444dde3ba
hex28f1f7ef8

10991140600 has 96 divisors (see below), whose sum is σ = 28557703440. Its totient is φ = 3899264000.

The previous prime is 10991140591. The next prime is 10991140607. The reversal of 10991140600 is 604119901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10991140607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29274 + ... + 151126.

Almost surely, 210991140600 is an apocalyptic number.

10991140600 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 10991140600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14278851720).

10991140600 is an abundant number, since it is smaller than the sum of its proper divisors (17566562840).

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

10991140600 is a wasteful number, since it uses less digits than its factorization.

10991140600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121921 (or 121912 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 10991140600 in words is "ten billion, nine hundred ninety-one million, one hundred forty thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 164 200 205 220 275 328 410 440 451 550 820 902 1025 1100 1640 1804 2050 2200 2255 3608 4100 4510 8200 9020 11275 18040 22550 45100 90200 121853 243706 487412 609265 974824 1218530 1340383 2437060 2680766 3046325 4874120 4995973 5361532 6092650 6701915 9991946 10723064 12185300 13403830 19983892 24370600 24979865 26807660 33509575 39967784 49959730 53615320 54955703 67019150 99919460 109911406 124899325 134038300 199838920 219822812 249798650 268076600 274778515 439645624 499597300 549557030 999194600 1099114060 1373892575 2198228120 2747785150 5495570300 10991140600