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21131103200 = 2552672631499
BaseRepresentation
bin10011101011100000…
…110000101111100000
32000112122220021010212
4103223200300233200
5321234030300300
613412452513252
71345435261604
oct235340605740
960478807125
1021131103200
118a63a58659
12411891b828
131cb9b2877c
1410465dd504
1583a1e7935
hex4eb830be0

21131103200 has 144 divisors (see below), whose sum is σ = 52590384000. Its totient is φ = 8289093120.

The previous prime is 21131103193. The next prime is 21131103271. The reversal of 21131103200 is 230113112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14096051 + ... + 14097549.

It is an arithmetic number, because the mean of its divisors is an integer number (365211000).

Almost surely, 221131103200 is an apocalyptic number.

21131103200 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 21131103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26295192000).

21131103200 is an abundant number, since it is smaller than the sum of its proper divisors (31459280800).

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

21131103200 is a wasteful number, since it uses less digits than its factorization.

21131103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 21131103200 its reverse (230113112), we get a palindrome (21361216312).

The spelling of 21131103200 in words is "twenty-one billion, one hundred thirty-one million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 134 160 200 263 268 335 400 526 536 670 800 1052 1072 1315 1340 1499 1675 2104 2144 2630 2680 2998 3350 4208 5260 5360 5996 6575 6700 7495 8416 10520 10720 11992 13150 13400 14990 17621 21040 23984 26300 26800 29980 35242 37475 42080 47968 52600 53600 59960 70484 74950 88105 100433 105200 119920 140968 149900 176210 200866 210400 239840 281936 299800 352420 394237 401732 440525 502165 563872 599600 704840 788474 803464 881050 1004330 1199200 1409680 1576948 1606928 1762100 1971185 2008660 2510825 2819360 3153896 3213856 3524200 3942370 4017320 5021650 6307792 7048400 7884740 8034640 9855925 10043300 12615584 14096800 15769480 16069280 19711850 20086600 26413879 31538960 39423700 40173200 52827758 63077920 78847400 80346400 105655516 132069395 157694800 211311032 264138790 315389600 422622064 528277580 660346975 845244128 1056555160 1320693950 2113110320 2641387900 4226220640 5282775800 10565551600 21131103200