Search a number
-
+
21031032110100 = 22352472857522073
BaseRepresentation
bin1001100100000101010110…
…01100101011110000010100
32202110112202210021110101220
410302002223030223300110
510224033023210010400
6112421304530250340
74300304403245055
oct462025314536024
982415683243356
1021031032110100
116779235391611
122437b561269b0
13b972aa7150ac
14529c9bc1872c
152670eab4b7a0
hex1320ab32bc14

21031032110100 has 144 divisors (see below), whose sum is σ = 62166333266688. Its totient is φ = 5487018485760.

The previous prime is 21031032110089. The next prime is 21031032110141. The reversal of 21031032110100 is 101123013012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21031032110100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40022664 + ... + 40544736.

Almost surely, 221031032110100 is an apocalyptic number.

21031032110100 is a gapful number since it is divisible by the number (20) 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 21031032110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31083166633344).

21031032110100 is an abundant number, since it is smaller than the sum of its proper divisors (41135301156588).

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

21031032110100 is a wasteful number, since it uses less digits than its factorization.

21031032110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524994 (or 524987 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21031032110100 its reverse (101123013012), we get a palindrome (21132155123112).

The spelling of 21031032110100 in words is "twenty-one trillion, thirty-one billion, thirty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 2857 3525 4700 5714 7050 8571 11428 14100 14285 17142 28570 34284 42855 57140 71425 85710 134279 142850 171420 214275 268558 285700 402837 428550 522073 537116 671395 805674 857100 1044146 1342790 1566219 1611348 2014185 2088292 2610365 2685580 3132438 3356975 4028370 5220730 6264876 6713950 7831095 8056740 10070925 10441460 13051825 13427900 15662190 20141850 24537431 26103650 31324380 39155475 40283700 49074862 52207300 73612293 78310950 98149724 122687155 147224586 156621900 245374310 294449172 368061465 490748620 613435775 736122930 1226871550 1472245860 1491562561 1840307325 2453743100 2983125122 3680614650 4474687683 5966250244 7361229300 7457812805 8949375366 14915625610 17898750732 22373438415 29831251220 37289064025 44746876830 70103440367 74578128050 89493753660 111867192075 140206880734 149156256100 210310321101 223734384150 280413761468 350517201835 420620642202 447468768300 701034403670 841241284404 1051551605505 1402068807340 1752586009175 2103103211010 3505172018350 4206206422020 5257758027525 7010344036700 10515516055050 21031032110100