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210000111102120 = 23354142682949411
BaseRepresentation
bin101111101111111001110110…
…000001100110100010101000
31000112112210222210220212212010
4233233321312001212202220
5210011120211420231440
62022344415203515520
762143002343224033
oct5757716601464250
91015483883825763
10210000111102120
1160a04602030aa9
121b677518388ba0
139023c054472b1
1439c00b97d401a
1519428b8b2b580
hexbefe760668a8

210000111102120 has 64 divisors (see below), whose sum is σ = 645366195109440. Its totient is φ = 54634175244800.

The previous prime is 210000111102101. The next prime is 210000111102239. The reversal of 210000111102120 is 21201111000012.

It is a super-3 number, since 3×2100001111021203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210000111102096 and 210000111102105.

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, 21341469786 + ... + 21341479625.

It is an arithmetic number, because the mean of its divisors is an integer number (10083846798585).

Almost surely, 2210000111102120 is an apocalyptic number.

210000111102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210000111102120 is an abundant number, since it is smaller than the sum of its proper divisors (435366084007320).

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

210000111102120 is a wasteful number, since it uses less digits than its factorization.

210000111102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42682949466 (or 42682949462 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210000111102120 its reverse (21201111000012), we get a palindrome (231201222102132).

The spelling of 210000111102120 in words is "two hundred ten trillion, one hundred eleven million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 42682949411 85365898822 128048848233 170731797644 213414747055 256097696466 341463595288 426829494110 512195392932 640244241165 853658988220 1024390785864 1280488482330 1707317976440 1750000925851 2560976964660 3500001851702 5121953929320 5250002777553 7000003703404 8750004629255 10500005555106 14000007406808 17500009258510 21000011110212 26250013887765 35000018517020 42000022220424 52500027775530 70000037034040 105000055551060 210000111102120