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1021221010212 = 2231319760155291
BaseRepresentation
bin11101101110001011000…
…00111111101100100100
310121121221122111102212020
432313011200333230210
5113212430034311322
62101050434223140
7133531544235324
oct16670540775444
93547848442766
101021221010212
11364108700a67
12145b04a24ab0
13753ba912b10
14375da96b284
151b86e7bd05c
hexedc583fb24

1021221010212 has 96 divisors (see below), whose sum is σ = 2583509410944. Its totient is φ = 312100992000.

The previous prime is 1021221010207. The next prime is 1021221010213. The reversal of 1021221010212 is 2120101221201.

It is a junction number, because it is equal to n+sod(n) for n = 1021221010191 and 1021221010200.

It is not an unprimeable number, because it can be changed into a prime (1021221010213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18442287 + ... + 18497577.

It is an arithmetic number, because the mean of its divisors is an integer number (26911556364).

Almost surely, 21021221010212 is an apocalyptic number.

1021221010212 is a gapful number since it is divisible by the number (12) 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 1021221010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291754705472).

1021221010212 is an abundant number, since it is smaller than the sum of its proper divisors (1562288400732).

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

1021221010212 is a wasteful number, since it uses less digits than its factorization.

1021221010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56109 (or 56107 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1021221010212 its reverse (2120101221201), we get a palindrome (3141322231413).

The spelling of 1021221010212 in words is "one trillion, twenty-one billion, two hundred twenty-one million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 197 394 591 601 788 1182 1202 1803 2364 2404 2561 3606 5122 7212 7683 7813 10244 15366 15626 23439 30732 31252 46878 55291 93756 110582 118397 165873 221164 236794 331746 355191 473588 663492 710382 718783 1420764 1437566 1539161 2156349 2875132 3078322 4312698 4617483 6156644 8625396 9234966 10892327 18469932 21784654 32676981 33229891 43569308 65353962 66459782 99689673 130707924 132919564 141600251 199379346 283200502 398758692 424800753 431988583 566401004 849601506 863977166 1295965749 1699203012 1727954332 2591931498 5183862996 6546288527 13092577054 19638865581 26185154108 39277731162 78555462324 85101750851 170203501702 255305252553 340407003404 510610505106 1021221010212