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202221011200020 = 22355037813985751
BaseRepresentation
bin101101111110101100111111…
…100010011110100000010100
3222112000010202222001010221020
4231332230333202132200110
5203001142112331400040
61554031014451321140
760410662113112521
oct5576547742364024
9875003688033836
10202221011200020
11594854a3a2794a
121a81b9535b01b0
1388ab489b79047
1437d1798ca2148
15185a374e01cd0
hexb7eb3f89e814

202221011200020 has 96 divisors (see below), whose sum is σ = 567358391900160. Its totient is φ = 53817078672000.

The previous prime is 202221011199967. The next prime is 202221011200099. The reversal of 202221011200020 is 20002110122202.

It is a super-2 number, since 2×2022210112000202 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2358192145 + ... + 2358277895.

It is an arithmetic number, because the mean of its divisors is an integer number (5909983248960).

Almost surely, 2202221011200020 is an apocalyptic number.

202221011200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221011200020 is an abundant number, since it is smaller than the sum of its proper divisors (365137380700140).

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

202221011200020 is a wasteful number, since it uses less digits than its factorization.

202221011200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164405 (or 164403 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202221011200020 its reverse (20002110122202), we get a palindrome (222223121322222).

The spelling of 202221011200020 in words is "two hundred two trillion, two hundred twenty-one billion, eleven million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 503 1006 1509 2012 2515 3018 5030 6036 7545 10060 15090 30180 78139 85751 156278 171502 234417 257253 312556 343004 390695 428755 468834 514506 781390 857510 937668 1029012 1172085 1286265 1562780 1715020 2344170 2572530 4688340 5145060 39303917 43132753 78607834 86265506 117911751 129398259 157215668 172531012 196519585 215663765 235823502 258796518 393039170 431327530 471647004 517593036 589558755 646991295 786078340 862655060 1179117510 1293982590 2358235020 2587965180 6700497389 13400994778 20101492167 26801989556 33502486945 40202984334 67004973890 80405968668 100507460835 134009947780 201014921670 402029843340 3370350186667 6740700373334 10111050560001 13481400746668 16851750933335 20222101120002 33703501866670 40444202240004 50555252800005 67407003733340 101110505600010 202221011200020