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1020022002112 = 2631717241183
BaseRepresentation
bin11101101011111100000…
…11001001000111000000
310121111212002100111221211
432311332003021013000
5113203001113031422
62100331443255504
7133460044651021
oct16657603110700
93544762314854
101020022002112
11363652912483
1214582b37a594
13752593a7c79
1437525618c48
151b7ee3cb577
hexed7e0c91c0

1020022002112 has 56 divisors (see below), whose sum is σ = 2118828367872. Its totient is φ = 486607430400.

The previous prime is 1020022002047. The next prime is 1020022002119. The reversal of 1020022002112 is 2112002200201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1020022002092 and 1020022002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020022002119) 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, 3479728 + ... + 3761455.

Almost surely, 21020022002112 is an apocalyptic number.

It is an amenable number.

1020022002112 is an abundant number, since it is smaller than the sum of its proper divisors (1098806365760).

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

1020022002112 is an equidigital number, since it uses as much as digits as its factorization.

1020022002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7241297 (or 7241287 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1020022002112 its reverse (2112002200201), we get a palindrome (3132024202313).

The spelling of 1020022002112 in words is "one trillion, twenty billion, twenty-two million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 142 248 284 496 568 992 1136 1984 2201 2272 4402 4544 8804 17608 35216 70432 140864 7241183 14482366 28964732 57929464 115858928 224476673 231717856 448953346 463435712 514123993 897906692 1028247986 1795813384 2056495972 3591626768 4112991944 7183253536 8225983888 14366507072 15937843783 16451967776 31875687566 32903935552 63751375132 127502750264 255005500528 510011001056 1020022002112