Search a number
-
+
212133103023000 = 23353292438311529
BaseRepresentation
bin110000001110111100010110…
…010000000011001110011000
31000211002201121200112022022110
4300032330112100003032120
5210301042043333214000
62031100334023152320
762453053022342625
oct6016742620031630
91024081550468273
10212133103023000
11616571643a33a5
121b960996ba56a0
13914a0b1699273
143a55422c5134c
15197d107467850
hexc0ef16403398

212133103023000 has 128 divisors (see below), whose sum is σ = 684677877624000. Its totient is φ = 54618178227200.

The previous prime is 212133103022941. The next prime is 212133103023041. The reversal of 212133103023000 is 320301331212.

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, 1219068765 + ... + 1219242764.

Almost surely, 2212133103023000 is an apocalyptic number.

212133103023000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212133103023000 is an abundant number, since it is smaller than the sum of its proper divisors (472544774601000).

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

212133103023000 is a wasteful number, since it uses less digits than its factorization.

212133103023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438311582 (or 2438311568 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 212133103023000 its reverse (320301331212), we get a palindrome (212453404354212).

The spelling of 212133103023000 in words is "two hundred twelve trillion, one hundred thirty-three billion, one hundred three million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 14500 17400 21750 29000 43500 87000 2438311529 4876623058 7314934587 9753246116 12191557645 14629869174 19506492232 24383115290 29259738348 36574672935 48766230580 58519476696 60957788225 70711034341 73149345870 97532461160 121915576450 141422068682 146298691740 182873364675 212133103023 243831152900 282844137364 292597383480 304788941125 353555171705 365746729350 424266206046 487662305800 565688274728 609577882250 707110343410 731493458700 848532412092 914366823375 1060665515115 1219155764500 1414220686820 1462986917400 1697064824184 1767775858525 1828733646750 2121331030230 2438311529000 2828441373640 3535551717050 3657467293500 4242662060460 5303327575575 7071103434100 7314934587000 8485324120920 8838879292625 10606655151150 14142206868200 17677758585250 21213310302300 26516637877875 35355517170500 42426620604600 53033275755750 70711034341000 106066551511500 212133103023000