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221202011002120 = 23571757102890399
BaseRepresentation
bin110010010010111010011011…
…010010100001010100001000
31002000012201001110212011111121
4302102322123102201110020
5212443133204304031440
62102242445003005024
764410214020306421
oct6222723322412410
91060181043764447
10221202011002120
11645332785390a5
1220986521b09774
13965734c6876a5
143c8a33d4ca648
151a88e8a44834a
hexc92e9b4a1508

221202011002120 has 64 divisors (see below), whose sum is σ = 505381182336000. Its totient is φ = 87119357794560.

The previous prime is 221202011002097. The next prime is 221202011002121. The reversal of 221202011002120 is 21200110202122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221202011002094 and 221202011002103.

It is not an unprimeable number, because it can be changed into a prime (221202011002121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49295320 + ... + 53595079.

It is an arithmetic number, because the mean of its divisors is an integer number (7896580974000).

Almost surely, 2221202011002120 is an apocalyptic number.

221202011002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221202011002120 is an abundant number, since it is smaller than the sum of its proper divisors (284179171333880).

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

221202011002120 is a wasteful number, since it uses less digits than its factorization.

221202011002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102891238 (or 102891234 counting only the distinct ones).

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

Adding to 221202011002120 its reverse (21200110202122), we get a palindrome (242402121204242).

The spelling of 221202011002120 in words is "two hundred twenty-one trillion, two hundred two billion, eleven million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 757 1420 1514 2840 3028 3785 6056 7570 15140 30280 53747 107494 214988 268735 429976 537470 1074940 2149880 102890399 205780798 411561596 514451995 823123192 1028903990 2057807980 4115615960 7305218329 14610436658 29220873316 36526091645 58441746632 73052183290 77888032043 146104366580 155776064086 292208733160 311552128172 389440160215 623104256344 778880320430 1557760640860 3115521281720 5530050275053 11060100550106 22120201100212 27650251375265 44240402200424 55300502750530 110601005501060 221202011002120