Search a number
-
+
210010022100120 = 233511159098501591
BaseRepresentation
bin101111110000000011000100…
…110001000011110010011000
31000112120202120112012202012010
4233300003010301003302120
5210011301011124200440
62022353134450545520
762143503060300654
oct5760030461036230
91015522515182163
10210010022100120
1160a08828586540
121b6794235982a0
139024b24871b58
1439c0779bc9a64
151942c98ca8580
hexbf00c4c43c98

210010022100120 has 64 divisors (see below), whose sum is σ = 687305526877440. Its totient is φ = 50911520508800.

The previous prime is 210010022100101. The next prime is 210010022100163. The reversal of 210010022100120 is 21001220010012.

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 = 210010022100096 and 210010022100105.

It is a congruent number.

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, 79549249476 + ... + 79549252115.

It is an arithmetic number, because the mean of its divisors is an integer number (10739148857460).

Almost surely, 2210010022100120 is an apocalyptic number.

210010022100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010022100120 is an abundant number, since it is smaller than the sum of its proper divisors (477295504777320).

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

210010022100120 is a wasteful number, since it uses less digits than its factorization.

210010022100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159098501616 (or 159098501612 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210010022100120 its reverse (21001220010012), we get a palindrome (231011242110132).

The spelling of 210010022100120 in words is "two hundred ten trillion, ten billion, twenty-two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 159098501591 318197003182 477295504773 636394006364 795492507955 954591009546 1272788012728 1590985015910 1750083517501 1909182019092 2386477523865 3181970031820 3500167035002 3818364038184 4772955047730 5250250552503 6363940063640 7000334070004 8750417587505 9545910095460 10500501105006 14000668140008 17500835175010 19091820190920 21001002210012 26251252762515 35001670350020 42002004420024 52502505525030 70003340700040 105005011050060 210010022100120