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210211211120 = 245174710132561
BaseRepresentation
bin1100001111000110010…
…0001000011101110000
3202002120222110221210212
43003301210020131300
511421003032223440
6240323015443252
721121141545551
oct3036144103560
9662528427725
10210211211120
1181171826259
12348a7386528
1316a909ba831
14a262304328
155704b53465
hex30f1908770

210211211120 has 160 divisors (see below), whose sum is σ = 533750052096. Its totient is φ = 76685312000.

The previous prime is 210211211099. The next prime is 210211211159. The reversal of 210211211120 is 21112112012.

It is a junction number, because it is equal to n+sod(n) for n = 210211211095 and 210211211104.

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, 6439640 + ... + 6472200.

Almost surely, 2210211211120 is an apocalyptic number.

210211211120 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 210211211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266875026048).

210211211120 is an abundant number, since it is smaller than the sum of its proper divisors (323538840976).

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

210211211120 is a wasteful number, since it uses less digits than its factorization.

210211211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32739 (or 32733 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210211211120 its reverse (21112112012), we get a palindrome (231323323132).

The spelling of 210211211120 in words is "two hundred ten billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 47 68 80 85 94 101 136 170 188 202 235 272 340 376 404 470 505 680 752 799 808 940 1010 1360 1598 1616 1717 1880 2020 3196 3434 3760 3995 4040 4747 6392 6868 7990 8080 8585 9494 12784 13736 15980 17170 18988 23735 27472 31960 32561 34340 37976 47470 63920 65122 68680 75952 80699 94940 130244 137360 161398 162805 189880 260488 322796 325610 379760 403495 520976 553537 645592 651220 806990 1107074 1291184 1302440 1530367 1613980 2214148 2604880 2767685 3060734 3227960 3288661 4428296 5535370 6121468 6455920 6577322 7651835 8856592 11070740 12242936 13154644 15303670 16443305 22141480 24485872 26016239 26309288 30607340 32886610 44282960 52032478 52618576 55907237 61214680 65773220 104064956 111814474 122429360 130081195 131546440 154567067 208129912 223628948 260162390 263092880 279536185 309134134 416259824 447257896 520324780 559072370 618268268 772835335 894515792 1040649560 1118144740 1236536536 1545670670 2081299120 2236289480 2473073072 2627640139 3091341340 4472578960 5255280278 6182682680 10510560556 12365365360 13138200695 21021121112 26276401390 42042242224 52552802780 105105605560 210211211120