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10000123114420 = 2251937388379901
BaseRepresentation
bin1001000110000101010111…
…0010010011001110110100
31022102000001202220010001201
42101201111302103032310
52302320223004130140
633133554303502244
72051325241656415
oct221412562231664
938360052803051
1010000123114420
11320603488277a
121156110bb7984
13577013802baa
1426801961980c
151251d5b6149a
hex91855c933b4

10000123114420 has 96 divisors (see below), whose sum is σ = 22190178890880. Its totient is φ = 3775033382400.

The previous prime is 10000123114409. The next prime is 10000123114447. The reversal of 10000123114420 is 2441132100001.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125116470 + ... + 125196370.

It is an arithmetic number, because the mean of its divisors is an integer number (231147696780).

Almost surely, 210000123114420 is an apocalyptic number.

10000123114420 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 10000123114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11095089445440).

10000123114420 is an abundant number, since it is smaller than the sum of its proper divisors (12190055776460).

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

10000123114420 is a wasteful number, since it uses less digits than its factorization.

10000123114420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81185 (or 81183 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10000123114420 its reverse (2441132100001), we get a palindrome (12441255214421).

The spelling of 10000123114420 in words is "ten trillion, one hundred twenty-three million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 373 380 746 883 1492 1766 1865 3532 3730 4415 7087 7460 8830 14174 16777 17660 28348 33554 35435 67108 70870 79901 83885 141740 159802 167770 319604 329359 335540 399505 658718 799010 1317436 1518119 1598020 1646795 3036238 3293590 6072476 6257821 6587180 7590595 12515642 15181190 25031284 29803073 30362380 31289105 59606146 62578210 70552583 119212292 125156420 141105166 149015365 282210332 298030730 352762915 566258387 596061460 705525830 1132516774 1340499077 1411051660 2265033548 2680998154 2831291935 5361996308 5662583870 6702495385 11325167740 13404990770 26316113459 26809981540 52632226918 105264453836 131580567295 263161134590 500006155721 526322269180 1000012311442 2000024622884 2500030778605 5000061557210 10000123114420