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1010100011076 = 22321341431224239
BaseRepresentation
bin11101011001011101010…
…01110000000001000100
310120120020121101011000100
432230232221300001010
5113022141100323301
62052011124444100
7132656135300322
oct16545651600104
93516217334010
101010100011076
1135a421139792
12143920549630
1374337901860
1436c639a0d12
151b41d2cc286
hexeb2ea70044

1010100011076 has 144 divisors (see below), whose sum is σ = 2882291892480. Its totient is φ = 296167656960.

The previous prime is 1010100011071. The next prime is 1010100011077. The reversal of 1010100011076 is 6701100010101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1010100011071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212965 + ... + 1437203.

It is an arithmetic number, because the mean of its divisors is an integer number (20015915920).

Almost surely, 21010100011076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010100011076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441145946240).

1010100011076 is an abundant number, since it is smaller than the sum of its proper divisors (1872191881404).

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

1010100011076 is a wasteful number, since it uses less digits than its factorization.

1010100011076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224346 (or 1224341 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

Adding to 1010100011076 its reverse (6701100010101), we get a palindrome (7711200021177).

The spelling of 1010100011076 in words is "one trillion, ten billion, one hundred million, eleven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 43 52 78 82 86 117 123 129 156 164 172 234 246 258 369 387 468 492 516 533 559 738 774 1066 1118 1476 1548 1599 1677 1763 2132 2236 3198 3354 3526 4797 5031 5289 6396 6708 7052 9594 10062 10578 15867 19188 20124 21156 22919 31734 45838 63468 68757 91676 137514 206271 275028 412542 825084 1224239 2448478 3672717 4896956 7345434 11018151 14690868 15915107 22036302 31830214 44072604 47745321 50193799 52642277 63660428 95490642 100387598 105284554 143235963 150581397 157926831 190981284 200775196 210569108 286471926 301162794 315853662 451744191 473780493 572943852 602325588 631707324 652519387 684349601 903488382 947560986 1305038774 1368699202 1806976764 1895121972 1957558161 2053048803 2158333357 2610077548 2737398404 3915116322 4106097606 4316666714 5872674483 6159146409 6475000071 7830232644 8212195212 8633333428 11745348966 12318292818 12950000142 19425000213 23490697932 24636585636 25900000284 28058333641 38850000426 56116667282 77700000852 84175000923 112233334564 168350001846 252525002769 336700003692 505050005538 1010100011076