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106203143002352 = 241123105124962849
BaseRepresentation
bin11000001001011101011000…
…100111001101100011110000
3111221000220212122020211100212
4120021131120213031203300
5102410013014102033402
61013513014513203252
731240631613526544
oct3011353047154360
9457026778224325
10106203143002352
1130926555572a30
12bab2a69860528
134734bb49c81c6
141c3238c2b1a24
15c428c2abb952
hex6097589cd8f0

106203143002352 has 80 divisors (see below), whose sum is σ = 234457477689600. Its totient is φ = 46131343104000.

The previous prime is 106203143002339. The next prime is 106203143002387. The reversal of 106203143002352 is 253200341302601.

It is a super-2 number, since 2×1062031430023522 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8226977 + ... + 16735872.

It is an arithmetic number, because the mean of its divisors is an integer number (2930718471120).

Almost surely, 2106203143002352 is an apocalyptic number.

It is an amenable number.

106203143002352 is an abundant number, since it is smaller than the sum of its proper divisors (128254334687248).

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

106203143002352 is a wasteful number, since it uses less digits than its factorization.

106203143002352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24963942 (or 24963936 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 106203143002352 its reverse (253200341302601), we get a palindrome (359403484304953).

The spelling of 106203143002352 in words is "one hundred six trillion, two hundred three billion, one hundred forty-three million, two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 1051 2024 2102 4048 4204 8408 11561 16816 23122 24173 46244 48346 92488 96692 184976 193384 265903 386768 531806 1063612 2127224 4254448 24962849 49925698 99851396 199702792 274591339 399405584 549182678 574145527 1098365356 1148291054 2196730712 2296582108 4393461424 4593164216 6315600797 9186328432 12631201594 25262403188 26235954299 50524806376 52471908598 101049612752 104943817196 209887634392 288595497289 419775268784 577190994578 603426948877 1154381989156 1206853897754 2308763978312 2413707795508 4617527956624 4827415591016 6637696437647 9654831182032 13275392875294 26550785750588 53101571501176 106203143002352