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210210221120 = 2651976195387
BaseRepresentation
bin1100001111000110000…
…0010110110001000000
3202002120220121122210012
43003301200112301000
511421002304033440
6240322542324052
721121130253344
oct3036140266100
9662526548705
10210210221120
118117120a479
12348a6b89628
1316a90732033
14a262127624
155704a09e65
hex30f1816c40

210210221120 has 112 divisors (see below), whose sum is σ = 504010330560. Its totient is φ = 83506612224.

The previous prime is 210210221087. The next prime is 210210221141. The reversal of 210210221120 is 21122012012.

It is a junction number, because it is equal to n+sod(n) for n = 210210221095 and 210210221104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39019067 + ... + 39024453.

Almost surely, 2210210221120 is an apocalyptic number.

210210221120 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 210210221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252005165280).

210210221120 is an abundant number, since it is smaller than the sum of its proper divisors (293800109440).

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

210210221120 is a wasteful number, since it uses less digits than its factorization.

210210221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6220 (or 6210 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210210221120 its reverse (21122012012), we get a palindrome (231332233132).

The spelling of 210210221120 in words is "two hundred ten billion, two hundred ten million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 197 320 394 619 788 985 1238 1576 1970 2476 3095 3152 3940 4952 5387 6190 6304 7880 9904 10774 12380 12608 15760 19808 21548 24760 26935 31520 39616 43096 49520 53870 63040 86192 99040 107740 121943 172384 198080 215480 243886 344768 430960 487772 609715 861920 975544 1061239 1219430 1723840 1951088 2122478 2438860 3334553 3902176 4244956 4877720 5306195 6669106 7804352 8489912 9755440 10612390 13338212 16672765 16979824 19510880 21224780 26676424 33345530 33959648 39021760 42449560 53352848 66691060 67919296 84899120 106705696 133382120 169798240 213411392 266764240 339596480 533528480 656906941 1067056960 1313813882 2627627764 3284534705 5255255528 6569069410 10510511056 13138138820 21021022112 26276277640 42042044224 52552555280 105105110560 210210221120