Search a number
-
+
12100154042200 = 2352721294059637
BaseRepresentation
bin1011000000010100100101…
…1000100010011101011000
31120211202121112120121012211
42300011021120202131120
53041222103413322300
641422422314444504
72356131045224440
oct260051130423530
946752545517184
1012100154042200
113945712563104
121435111133734
1369a0690b5053
142db91729b120
1515eb459374ba
hexb0149622758

12100154042200 has 96 divisors (see below), whose sum is σ = 32166947656800. Its totient is φ = 4146674595840.

The previous prime is 12100154042147. The next prime is 12100154042293. The reversal of 12100154042200 is 224045100121.

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 23 ways as a sum of consecutive naturals, for example, 950782 + ... + 5010418.

It is an arithmetic number, because the mean of its divisors is an integer number (335072371425).

Almost surely, 212100154042200 is an apocalyptic number.

12100154042200 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 12100154042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16083473828400).

12100154042200 is an abundant number, since it is smaller than the sum of its proper divisors (20066793614600).

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

12100154042200 is a wasteful number, since it uses less digits than its factorization.

12100154042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061789 (or 4061780 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 12100154042200 its reverse (224045100121), we get a palindrome (12324199142321).

The spelling of 12100154042200 in words is "twelve trillion, one hundred billion, one hundred fifty-four million, forty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2129 4258 8516 10645 14903 17032 21290 29806 42580 53225 59612 74515 85160 106450 119224 149030 212900 298060 372575 425800 596120 745150 1490300 2980600 4059637 8119274 16238548 20298185 28417459 32477096 40596370 56834918 81192740 101490925 113669836 142087295 162385480 202981850 227339672 284174590 405963700 568349180 710436475 811927400 1136698360 1420872950 2841745900 5683491800 8642967173 17285934346 34571868692 43214835865 60500770211 69143737384 86429671730 121001540422 172859343460 216074179325 242003080844 302503851055 345718686920 432148358650 484006161688 605007702110 864296717300 1210015404220 1512519255275 1728593434600 2420030808440 3025038510550 6050077021100 12100154042200