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102222033100220 = 225112631766713327
BaseRepresentation
bin10111001111100001101011…
…111110001001110110111100
3111101221022221020121112012002
4113033201223332021312330
5101344301210433201340
61001224053111401432
730350204162643155
oct2717415376116674
9441838836545162
10102222033100220
112a6311368424a0
12b56b394083278
13450665b66a597
141b35803a9c92c
15bc406a1dc715
hex5cf86bf89dbc

102222033100220 has 48 divisors (see below), whose sum is σ = 235071808570368. Its totient is φ = 37030311312960.

The previous prime is 102222033100199. The next prime is 102222033100249. The reversal of 102222033100220 is 22001330222201.

It is a happy number.

It is a super-2 number, since 2×1022220331002202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102222033100192 and 102222033100201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883298804 + ... + 883414523.

It is an arithmetic number, because the mean of its divisors is an integer number (4897329345216).

Almost surely, 2102222033100220 is an apocalyptic number.

102222033100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222033100220 is an abundant number, since it is smaller than the sum of its proper divisors (132849775470148).

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

102222033100220 is a wasteful number, since it uses less digits than its factorization.

102222033100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766713610 (or 1766713608 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102222033100220 its reverse (22001330222201), we get a palindrome (124223363322421).

The spelling of 102222033100220 in words is "one hundred two trillion, two hundred twenty-two billion, thirty-three million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 263 526 1052 1315 2630 2893 5260 5786 11572 14465 28930 57860 1766713327 3533426654 7066853308 8833566635 17667133270 19433846597 35334266540 38867693194 77735386388 97169232985 194338465970 388676931940 464645605001 929291210002 1858582420004 2323228025005 4646456050010 5111101655011 9292912100020 10222203310022 20444406620044 25555508275055 51111016550110 102222033100220