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1012005522020 = 225314356966713
BaseRepresentation
bin11101011101000000011…
…10101100101001100100
310120202011101221010121202
432232200032230221210
5113040041403201040
62052524154302032
7133054304001653
oct16564016545144
93522141833552
101012005522020
11360209809319
12144172727918
137457c61491c
1436da4aa119a
151b4d0728015
hexeba03aca64

1012005522020 has 96 divisors (see below), whose sum is σ = 2248763489280. Its totient is φ = 381955553280.

The previous prime is 1012005521963. The next prime is 1012005522023. The reversal of 1012005522020 is 202255002101.

It is a happy number.

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 = 1012005521983 and 1012005522001.

It is not an unprimeable number, because it can be changed into a prime (1012005522023) 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 31 ways as a sum of consecutive naturals, for example, 15136184 + ... + 15202896.

It is an arithmetic number, because the mean of its divisors is an integer number (23424619680).

Almost surely, 21012005522020 is an apocalyptic number.

1012005522020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012005522020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124381744640).

1012005522020 is an abundant number, since it is smaller than the sum of its proper divisors (1236757967260).

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

1012005522020 is a wasteful number, since it uses less digits than its factorization.

1012005522020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67365 (or 67363 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 1012005522020 in words is "one trillion, twelve billion, five million, five hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 43 62 86 124 155 172 215 310 430 569 620 860 1138 1333 2276 2666 2845 5332 5690 6665 11380 13330 17639 24467 26660 35278 48934 66713 70556 88195 97868 122335 133426 176390 244670 266852 333565 352780 489340 667130 758477 1334260 1516954 2068103 2868659 3033908 3792385 4136206 5737318 7584770 8272412 10340515 11474636 14343295 15169540 20681030 28686590 37959697 41362060 57373180 75919394 88928429 151838788 177856858 189798485 355713716 379596970 444642145 759193940 889284290 1176750607 1632266971 1778568580 2353501214 3264533942 4707002428 5883753035 6529067884 8161334855 11767506070 16322669710 23535012140 32645339420 50600276101 101200552202 202401104404 253001380505 506002761010 1012005522020