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212232102120 = 233253715933341
BaseRepresentation
bin1100010110101000000…
…1001110000011101000
3202021210211010212002200
43011222001032003220
511434122404231440
6241255330300200
721222211050213
oct3055201160350
9667724125080
10212232102120
1182009541605
1235170127660
131702359aa1c
14a3b487a77a
1557c2290c30
hex316a04e0e8

212232102120 has 96 divisors (see below), whose sum is σ = 708396385320. Its totient is φ = 55065623040.

The previous prime is 212232102109. The next prime is 212232102163. The reversal of 212232102120 is 21201232212.

212232102120 is a `hidden beast` number, since 21 + 223 + 210 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 204703763364 + 7528338756 = 452442^2 + 86766^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212232102093 and 212232102102.

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, 7953351 + ... + 7979990.

Almost surely, 2212232102120 is an apocalyptic number.

212232102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212232102120 is an abundant number, since it is smaller than the sum of its proper divisors (496164283200).

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

212232102120 is a wasteful number, since it uses less digits than its factorization.

212232102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933395 (or 15933388 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212232102120 its reverse (21201232212), we get a palindrome (233433334332).

The spelling of 212232102120 in words is "two hundred twelve billion, two hundred thirty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 15933341 31866682 47800023 63733364 79666705 95600046 127466728 143400069 159333410 191200092 239000115 286800138 318666820 382400184 478000230 573600276 589533617 637333640 717000345 956000460 1147200552 1179067234 1434000690 1768600851 1912000920 2358134468 2868001380 2947668085 3537201702 4716268936 5305802553 5736002760 5895336170 7074403404 8843004255 10611605106 11790672340 14148806808 17686008510 21223210212 23581344680 26529012765 35372017020 42446420424 53058025530 70744034040 106116051060 212232102120