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10100222220222 = 2325776731444999
BaseRepresentation
bin1001001011111010010000…
…1010000101011110111110
31022202120102212000112220200
42102332210022011132332
52310440223342021342
633251551131024330
72061500631224211
oct222764412053676
938676385015820
1010100222220222
1132445311494a2
1211715a7b9b0a6
135835a6a02104
1426cbd38b7778
15127ae392594c
hex92fa42857be

10100222220222 has 48 divisors (see below), whose sum is σ = 21954330060000. Its totient is φ = 3355909595136.

The previous prime is 10100222220191. The next prime is 10100222220241. The reversal of 10100222220222 is 22202222200101.

10100222220222 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 222 + 220 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10100222220195 and 10100222220204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6267279 + ... + 7712277.

It is an arithmetic number, because the mean of its divisors is an integer number (457381876250).

Almost surely, 210100222220222 is an apocalyptic number.

10100222220222 is an abundant number, since it is smaller than the sum of its proper divisors (11854107839778).

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

10100222220222 is a wasteful number, since it uses less digits than its factorization.

10100222220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446257 (or 1446254 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10100222220222 its reverse (22202222200101), we get a palindrome (32302444420323).

The spelling of 10100222220222 in words is "ten trillion, one hundred billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 577 673 1154 1346 1731 2019 3462 4038 5193 6057 10386 12114 388321 776642 1164963 1444999 2329926 2889998 3494889 4334997 6989778 8669994 13004991 26009982 833764423 972484327 1667528846 1944968654 2501293269 2917452981 5002586538 5834905962 7503879807 8752358943 15007759614 17504717886 561123456679 1122246913358 1683370370037 3366740740074 5050111110111 10100222220222