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210002121012120 = 23355333019201417
BaseRepresentation
bin101111101111111011101101…
…110100110011001110011000
31000112120000011212220220001020
4233233323231310303032120
5210011133320434341440
62022345350443122440
762143103220201663
oct5757735564631630
91015500155826036
10210002121012120
1160a05443627148
121b677999513420
139024165981258
1439c022a70c6da
1519429852ea3d0
hexbefeedd33398

210002121012120 has 64 divisors (see below), whose sum is σ = 641893275565920. Its totient is φ = 54943951156224.

The previous prime is 210002121012119. The next prime is 210002121012191. The reversal of 210002121012120 is 21210121200012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210002121012120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16509594349 + ... + 16509607068.

Almost surely, 2210002121012120 is an apocalyptic number.

210002121012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002121012120 is an abundant number, since it is smaller than the sum of its proper divisors (431891154553800).

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

210002121012120 is a wasteful number, since it uses less digits than its factorization.

210002121012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33019201484 (or 33019201480 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210002121012120 its reverse (21210121200012), we get a palindrome (231212242212132).

The spelling of 210002121012120 in words is "two hundred ten trillion, two billion, one hundred twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 33019201417 66038402834 99057604251 132076805668 165096007085 198115208502 264153611336 330192014170 396230417004 495288021255 660384028340 792460834008 990576042510 1320768056680 1750017675101 1981152085020 3500035350202 3962304170040 5250053025303 7000070700404 8750088375505 10500106050606 14000141400808 17500176751010 21000212101212 26250265126515 35000353502020 42000424202424 52500530253030 70000707004040 105001060506060 210002121012120