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13404033122100 = 22352117138155517
BaseRepresentation
bin1100001100001101111010…
…1000011111111100110100
31202110102011010002201200220
43003003132220133330310
53224102424434401400
644301421112334340
72552260302440025
oct303033650377464
952412133081626
1013404033122100
1142a8689289455
12160595b6a43b0
13762cc1a4422a
14344a89ac0c4c
15183a0a1997a0
hexc30dea1ff34

13404033122100 has 72 divisors (see below), whose sum is σ = 38815455839328. Its totient is φ = 3571356297600.

The previous prime is 13404033122093. The next prime is 13404033122167. The reversal of 13404033122100 is 122133040431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18726459 + ... + 19429058.

It is an arithmetic number, because the mean of its divisors is an integer number (539103553324).

Almost surely, 213404033122100 is an apocalyptic number.

13404033122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13404033122100 is an abundant number, since it is smaller than the sum of its proper divisors (25411422717228).

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

13404033122100 is a wasteful number, since it uses less digits than its factorization.

13404033122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38156705 (or 38156698 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13404033122100 its reverse (122133040431), we get a palindrome (13526166162531).

The spelling of 13404033122100 in words is "thirteen trillion, four hundred four billion, thirty-three million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1171 2342 3513 4684 5855 7026 11710 14052 17565 23420 29275 35130 58550 70260 87825 117100 175650 351300 38155517 76311034 114466551 152622068 190777585 228933102 381555170 457866204 572332755 763110340 953887925 1144665510 1907775850 2289331020 2861663775 3815551700 5723327550 11446655100 44680110407 89360220814 134040331221 178720441628 223400552035 268080662442 446801104070 536161324884 670201656105 893602208140 1117002760175 1340403312210 2234005520350 2680806624420 3351008280525 4468011040700 6702016561050 13404033122100