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210012202021120 = 2851089115064919
BaseRepresentation
bin101111110000000101000110…
…101100110011000100000000
31000112120222012110010012121221
4233300011012230303010000
5210011314442204133440
62022354135042124424
762143611100311532
oct5760050654630400
91015528173105557
10210012202021120
1160a09747041444
121b679931650714
1390250b1393135
1439c090551b852
151942d7535ad4a
hexbf0146b33100

210012202021120 has 72 divisors (see below), whose sum is σ = 503091075090240. Its totient is φ = 83997161994240.

The previous prime is 210012202021087. The next prime is 210012202021129. The reversal of 210012202021120 is 21120202210012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210012202021094 and 210012202021103.

It is not an unprimeable number, because it can be changed into a prime (210012202021129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6408021 + ... + 21472939.

It is an arithmetic number, because the mean of its divisors is an integer number (6987376042920).

Almost surely, 2210012202021120 is an apocalyptic number.

210012202021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210012202021120 is an abundant number, since it is smaller than the sum of its proper divisors (293078873069120).

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

210012202021120 is a wasteful number, since it uses less digits than its factorization.

210012202021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15075831 (or 15075817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210012202021120 its reverse (21120202210012), we get a palindrome (231132404231132).

The spelling of 210012202021120 in words is "two hundred ten trillion, twelve billion, two hundred two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 10891 21782 43564 54455 87128 108910 174256 217820 348512 435640 697024 871280 1394048 1742560 2788096 3485120 6970240 13940480 15064919 30129838 60259676 75324595 120519352 150649190 241038704 301298380 482077408 602596760 964154816 1205193520 1928309632 2410387040 3856619264 4820774080 9641548160 19283096320 164072032829 328144065658 656288131316 820360164145 1312576262632 1640720328290 2625152525264 3281440656580 5250305050528 6562881313160 10500610101056 13125762626320 21001220202112 26251525252640 42002440404224 52503050505280 105006101010560 210012202021120