Search a number
-
+
13857230100 = 22352719347299
BaseRepresentation
bin11001110011111010…
…01000110100010100
31022202201211020002110
430321331020310110
5211334422330400
610211012311020
71000252340520
oct147175106424
938681736073
1013857230100
11597105508a
122828912470
1313cab71b4c
14956550d80
15561830e50
hex339f48d14

13857230100 has 144 divisors (see below), whose sum is σ = 48233024000. Its totient is φ = 3000654720.

The previous prime is 13857230099. The next prime is 13857230131. The reversal of 13857230100 is 103275831.

13857230100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133750 + ... + 213549.

Almost surely, 213857230100 is an apocalyptic number.

13857230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13857230100 is an abundant number, since it is smaller than the sum of its proper divisors (34375793900).

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

13857230100 is a wasteful number, since it uses less digits than its factorization.

13857230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347342 (or 347335 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 13857230100 in words is "thirteen billion, eight hundred fifty-seven million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 347299 694598 1041897 1389196 1736495 2083794 2431093 3472990 4167588 4862186 5209485 6598681 6945980 7293279 8682475 9724372 10418970 12155465 13197362 14586558 17364950 19796043 20837940 24310930 26047425 26394724 29173116 32993405 34729900 36466395 39592086 46190767 48621860 52094850 60777325 65986810 72932790 79184172 92381534 98980215 104189700 121554650 131973620 138572301 145865580 164967025 182331975 184763068 197960430 230953835 243109300 277144602 329934050 364663950 395920860 461907670 494901075 554289204 659868100 692861505 729327900 923815340 989802150 1154769175 1385723010 1979604300 2309538350 2771446020 3464307525 4619076700 6928615050 13857230100