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1010212002020 = 2251383269317383
BaseRepresentation
bin11101011001101010101…
…00111101100011100100
310120120112102002212201002
432230311110331203210
5113022403233031040
62052030205052432
7132661665223454
oct16546524754344
93516472085632
101010212002020
1135a479380191
12143951b57118
1374354b831a0
1436c747d3d64
151b42804ea15
hexeb3553d8e4

1010212002020 has 96 divisors (see below), whose sum is σ = 2313150642432. Its totient is φ = 368349331968.

The previous prime is 1010212002017. The next prime is 1010212002091. The reversal of 1010212002020 is 202002120101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1010212001992 and 1010212002010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58106249 + ... + 58123631.

It is an arithmetic number, because the mean of its divisors is an integer number (24095319192).

Almost surely, 21010212002020 is an apocalyptic number.

1010212002020 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 1010212002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156575321216).

1010212002020 is an abundant number, since it is smaller than the sum of its proper divisors (1302938640412).

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

1010212002020 is a wasteful number, since it uses less digits than its factorization.

1010212002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20181 (or 20179 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1010212002020 its reverse (202002120101), we get a palindrome (1212214122121).

The spelling of 1010212002020 in words is "one trillion, ten billion, two hundred twelve million, two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 332 415 830 1079 1660 2158 2693 4316 5386 5395 10772 10790 13465 17383 21580 26930 34766 35009 53860 69532 70018 86915 140036 173830 175045 223519 225979 347660 350090 447038 451958 700180 894076 903916 1117595 1129895 1442789 2235190 2259790 2885578 2905747 4470380 4519580 5771156 5811494 7213945 11622988 14427890 14528735 18756257 28855780 29057470 37512514 46812419 58114940 75025028 93624838 93781285 187249676 187562570 234062095 375125140 468124190 608561447 936248380 1217122894 2434245788 3042807235 3885430777 6085614470 7770861554 12171228940 15541723108 19427153885 38854307770 50510600101 77708615540 101021200202 202042400404 252553000505 505106001010 1010212002020