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10109493221324 = 22719281128352709
BaseRepresentation
bin1001001100011100110011…
…0000001001011111001100
31022210110100222001012112212
42103013030300021133030
52311113220231040244
633300123112445552
72062246444356020
oct223071460113714
938713328035485
1010109493221324
113248459407882
1211733549a98b8
13584423668a93
1426d432cb4380
15127e877d3d9e
hex931ccc097cc

10109493221324 has 96 divisors (see below), whose sum is σ = 21375937497600. Its totient is φ = 4086733754880.

The previous prime is 10109493221323. The next prime is 10109493221327. The reversal of 10109493221324 is 42312239490101.

It is not an unprimeable number, because it can be changed into a prime (10109493221323) 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, 191771882 + ... + 191824590.

It is an arithmetic number, because the mean of its divisors is an integer number (222666015600).

Almost surely, 210109493221324 is an apocalyptic number.

10109493221324 is a gapful number since it is divisible by the number (14) 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 10109493221324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10687968748800).

10109493221324 is an abundant number, since it is smaller than the sum of its proper divisors (11266444276276).

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

10109493221324 is a wasteful number, since it uses less digits than its factorization.

10109493221324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54303 (or 54301 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 10109493221324 in words is "ten trillion, one hundred nine billion, four hundred ninety-three million, two hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 281 532 562 1124 1283 1967 2566 3934 5132 5339 7868 8981 10678 17962 21356 24377 35924 37373 48754 52709 74746 97508 105418 149492 170639 210836 341278 360523 368963 682556 721046 737926 1001471 1442092 1475852 2002942 2523661 4005884 5047322 6849937 7010297 10094644 13699874 14020594 14811229 27399748 28041188 29622458 47949559 59244916 67625647 95899118 103678603 135251294 191798236 207357206 270502588 281413351 414714412 473379529 562826702 946759058 1125653404 1284887293 1893518116 1969893457 2569774586 3939786914 5139549172 7879573828 8994211051 17988422102 19002806807 35976844204 38005613614 76011227228 133019647649 266039295298 361053329333 532078590596 722106658666 1444213317332 2527373305331 5054746610662 10109493221324