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10220023313112 = 2331949145646297
BaseRepresentation
bin1001010010111000100011…
…0110111111001011011000
31100012000122222220122011010
42110232020312333023120
52314421101432004422
633423003000133520
72103241463553414
oct224561066771330
940160588818133
1010220023313112
1132903187a7778
1211908611672a0
13591989925762
1427491a643d44
1512aca61dab0c
hex94b88dbf2d8

10220023313112 has 64 divisors (see below), whose sum is σ = 26949574339200. Its totient is φ = 3220802645760.

The previous prime is 10220023313111. The next prime is 10220023313113. The reversal of 10220023313112 is 21131332002201.

It is an interprime number because it is at equal distance from previous prime (10220023313111) and next prime (10220023313113).

It is a super-2 number, since 2×102200233131122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220023313111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22599253 + ... + 23047044.

It is an arithmetic number, because the mean of its divisors is an integer number (421087099050).

Almost surely, 210220023313112 is an apocalyptic number.

10220023313112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220023313112 is an abundant number, since it is smaller than the sum of its proper divisors (16729551026088).

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

10220023313112 is a wasteful number, since it uses less digits than its factorization.

10220023313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45646816 (or 45646812 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10220023313112 its reverse (21131332002201), we get a palindrome (31351355315313).

The spelling of 10220023313112 in words is "ten trillion, two hundred twenty billion, twenty-three million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 491 982 1473 1964 2946 3928 5892 9329 11784 18658 27987 37316 55974 74632 111948 223896 45646297 91292594 136938891 182585188 273877782 365170376 547755564 867279643 1095511128 1734559286 2601838929 3469118572 5203677858 6938237144 10407355716 20814711432 22412331827 44824663654 67236995481 89649327308 134473990962 179298654616 268947981924 425834304713 537895963848 851668609426 1277502914139 1703337218852 2555005828278 3406674437704 5110011656556 10220023313112