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1012210001020 = 225192206367957
BaseRepresentation
bin11101011101011000110…
…10101110010001111100
310120202200122200202002001
432232230122232101330
5113041001230013040
62053000341112044
7133062336022441
oct16565432562174
93522618622061
101012210001020
11360304180429
1214420b0b8624
13745b2aa980a
1436dc3ccb9c8
151b4e366959a
hexebac6ae47c

1012210001020 has 72 divisors (see below), whose sum is σ = 2244525522624. Its totient is φ = 383382744192.

The previous prime is 1012210001003. The next prime is 1012210001029. The reversal of 1012210001020 is 201000122101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1012210000988 and 1012210001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012210001029) 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 23 ways as a sum of consecutive naturals, for example, 14860882 + ... + 14928838.

It is an arithmetic number, because the mean of its divisors is an integer number (31173965592).

Almost surely, 21012210001020 is an apocalyptic number.

1012210001020 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 1012210001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122262761312).

1012210001020 is an abundant number, since it is smaller than the sum of its proper divisors (1232315521604).

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

1012210001020 is a wasteful number, since it uses less digits than its factorization.

1012210001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70067 (or 70046 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012210001020 its reverse (201000122101), we get a palindrome (1213210123121).

The spelling of 1012210001020 in words is "one trillion, twelve billion, two hundred ten million, one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 2063 3610 4126 7220 8252 10315 20630 39197 41260 67957 78394 135914 156788 195985 271828 339785 391970 679570 744743 783940 1291183 1359140 1489486 2582366 2978972 3723715 5164732 6455915 7447430 12911830 14894860 24532477 25823660 49064954 98129908 122662385 140195291 245324770 280390582 490649540 560781164 700976455 1401952910 2663710529 2803905820 5327421058 10654842116 13318552645 26637105290 50610500051 53274210580 101221000102 202442000204 253052500255 506105000510 1012210001020