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100340420034300 = 223521075538156443
BaseRepresentation
bin10110110100001001010011…
…000101111011111011111100
3111011021110011101200001021020
4112310021103011323323330
5101122434140012044200
6553223430321304140
730064233101531325
oct2664112305737374
9434243141601236
10100340420034300
1129a761512704a6
12b30678b795050
1343cb0a40615c4
141aac70621d44c
15b90140784ea0
hex5b425317befc

100340420034300 has 144 divisors (see below), whose sum is σ = 293042019860352. Its totient is φ = 26506427500800.

The previous prime is 100340420034263. The next prime is 100340420034367. The reversal of 100340420034300 is 3430024043001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1777701879 + ... + 1777758321.

It is an arithmetic number, because the mean of its divisors is an integer number (2035014026808).

Almost surely, 2100340420034300 is an apocalyptic number.

100340420034300 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 100340420034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146521009930176).

100340420034300 is an abundant number, since it is smaller than the sum of its proper divisors (192701599826052).

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

100340420034300 is a wasteful number, since it uses less digits than its factorization.

100340420034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111948 (or 111941 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 100340420034300 its reverse (3430024043001), we get a palindrome (103770444077301).

The spelling of 100340420034300 in words is "one hundred trillion, three hundred forty billion, four hundred twenty million, thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 428 535 642 1070 1284 1605 2140 2675 3210 5350 6420 8025 10700 16050 32100 55381 56443 110762 112886 166143 169329 221524 225772 276905 282215 332286 338658 553810 564430 664572 677316 830715 846645 1107620 1128860 1384525 1411075 1661430 1693290 2769050 2822150 3322860 3386580 4153575 4233225 5538100 5644300 5925767 6039401 8307150 8466450 11851534 12078802 16614300 16932900 17777301 18118203 23703068 24157604 29628835 30197005 35554602 36236406 59257670 60394010 71109204 72472812 88886505 90591015 118515340 120788020 148144175 150985025 177773010 181182030 296288350 301970050 355546020 362364060 444432525 452955075 592576700 603940100 888865050 905910150 1777730100 1811820300 3125869783 6251739566 9377609349 12503479132 15629348915 18755218698 31258697830 37510437396 46888046745 62517395660 78146744575 93776093490 156293489150 187552186980 234440233725 312586978300 334468066781 468880467450 668936133562 937760934900 1003404200343 1337872267124 1672340333905 2006808400686 3344680667810 4013616801372 5017021001715 6689361335620 8361701669525 10034042003430 16723403339050 20068084006860 25085105008575 33446806678100 50170210017150 100340420034300