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21212203100 = 225211237910613
BaseRepresentation
bin10011110000010110…
…001000100001011100
32000202022111120021212
4103300112020201130
5321420310444400
613424511043552
71350441515504
oct236026104134
960668446255
1021212203100
118aa5810170
12413bb105b8
13200088268a
1410532b0a04
158423b7335
hex4f058885c

21212203100 has 144 divisors (see below), whose sum is σ = 53066603520. Its totient is φ = 7284076800.

The previous prime is 21212203097. The next prime is 21212203139. The reversal of 21212203100 is 130221212.

It is a happy number.

It is a super-2 number, since 2×212122031002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1993394 + ... + 2004006.

It is an arithmetic number, because the mean of its divisors is an integer number (368518080).

Almost surely, 221212203100 is an apocalyptic number.

21212203100 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 21212203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26533301760).

21212203100 is an abundant number, since it is smaller than the sum of its proper divisors (31854400420).

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

21212203100 is a wasteful number, since it uses less digits than its factorization.

21212203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10740 (or 10733 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21212203100 its reverse (130221212), we get a palindrome (21342424312).

The spelling of 21212203100 in words is "twenty-one billion, two hundred twelve million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 79 92 100 110 115 158 220 230 253 275 316 395 460 506 550 575 790 869 1012 1100 1150 1265 1580 1738 1817 1975 2300 2530 3476 3634 3950 4345 5060 6325 7268 7900 8690 9085 10613 12650 17380 18170 19987 21226 21725 25300 36340 39974 42452 43450 45425 53065 79948 86900 90850 99935 106130 116743 181700 199870 212260 233486 244099 265325 399740 466972 488198 499675 530650 583715 838427 976396 999350 1061300 1167430 1220495 1676854 1998700 2334860 2440990 2685089 2918575 3353708 4192135 4881980 5370178 5837150 6102475 8384270 9222697 10740356 11674300 12204950 13425445 16768540 18445394 19283821 20960675 24409900 26850890 36890788 38567642 41921350 46113485 53701780 67127225 77135284 83842700 92226970 96419105 134254450 184453940 192838210 212122031 230567425 268508900 385676420 424244062 461134850 482095525 848488124 922269700 964191050 1060610155 1928382100 2121220310 4242440620 5303050775 10606101550 21212203100