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210142443031224 = 233112293735793047
BaseRepresentation
bin101111110001111110011001…
…101010110100101010111000
31000120001102101011120000221220
4233301332121222310222320
5210020433210403444344
62022534034451032040
762156201431526334
oct5761763152645270
91016042334500856
10210142443031224
1160a59a00763a80
121b69b01ab9b620
1390344691804a2
1439c6d3ca027c4
151946449429c19
hexbf1f99ab4ab8

210142443031224 has 128 divisors (see below), whose sum is σ = 575640037670400. Its totient is φ = 63399073098240.

The previous prime is 210142443031223. The next prime is 210142443031429. The reversal of 210142443031224 is 422130344241012.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210142443031223) 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, 2258408269 + ... + 2258501315.

It is an arithmetic number, because the mean of its divisors is an integer number (4497187794300).

Almost surely, 2210142443031224 is an apocalyptic number.

210142443031224 is a gapful number since it is divisible by the number (24) 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 210142443031224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287820018835200).

210142443031224 is an abundant number, since it is smaller than the sum of its proper divisors (365497594639176).

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

210142443031224 is a wasteful number, since it uses less digits than its factorization.

210142443031224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130653 (or 130649 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 210142443031224 its reverse (422130344241012), we get a palindrome (632272787272236).

The spelling of 210142443031224 in words is "two hundred ten trillion, one hundred forty-two billion, four hundred forty-three million, thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 229 264 458 687 916 1374 1832 2519 2748 5038 5496 7557 10076 15114 20152 30228 37357 60456 74714 93047 112071 149428 186094 224142 279141 298856 372188 410927 448284 558282 744376 821854 896568 1023517 1116564 1232781 1643708 2047034 2233128 2465562 3070551 3287416 4094068 4931124 6141102 8188136 8554753 9862248 12282204 17109506 21307763 24564408 25664259 34219012 42615526 51328518 63923289 68438024 85231052 94102283 102657036 127846578 170462104 188204566 205314072 234385393 255693156 282306849 376409132 468770786 511386312 564613698 703156179 752818264 937541572 1129227396 1406312358 1875083144 2258454792 2812624716 3475956779 5625249432 6951913558 10427870337 13903827116 20855740674 27807654232 38235524569 41711481348 76471049138 83422962696 114706573707 152942098276 229413147414 305884196552 458826294828 795994102391 917652589656 1591988204782 2387982307173 3183976409564 4775964614346 6367952819128 8755935126301 9551929228692 17511870252602 19103858457384 26267805378903 35023740505204 52535610757806 70047481010408 105071221515612 210142443031224