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1013330020212 = 2232472411248401
BaseRepresentation
bin11101011111011110010…
…11010000011101110100
310120212120201012121120100
432233233023100131310
5113100244441121322
62053303431034100
7133132156024506
oct16575713203564
93525521177510
101013330020212
11360829419424
1214448220b930
1374730b49573
143708c95bd76
151b55bb56dac
hexebef2d0774

1013330020212 has 72 divisors (see below), whose sum is σ = 2617068085632. Its totient is φ = 330451488000.

The previous prime is 1013330020147. The next prime is 1013330020217. The reversal of 1013330020212 is 2120200333101.

1013330020212 is a `hidden beast` number, since 1 + 0 + 133 + 300 + 20 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013330020217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3955212 + ... + 4203612.

It is an arithmetic number, because the mean of its divisors is an integer number (36348167856).

Almost surely, 21013330020212 is an apocalyptic number.

1013330020212 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 1013330020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308534042816).

1013330020212 is an abundant number, since it is smaller than the sum of its proper divisors (1603738065420).

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

1013330020212 is a wasteful number, since it uses less digits than its factorization.

1013330020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250869 (or 250864 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1013330020212 its reverse (2120200333101), we get a palindrome (3133530353313).

The spelling of 1013330020212 in words is "one trillion, thirteen billion, three hundred thirty million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 2411 4822 7233 9644 14466 21699 28932 43398 86796 113317 226634 248401 339951 453268 496802 679902 745203 993604 1019853 1359804 1490406 2039706 2235609 2980812 4079412 4471218 8942436 11674847 23349694 35024541 46699388 70049082 105073623 140098164 210147246 420294492 598894811 1197789622 1796684433 2395579244 3593368866 5390053299 7186737732 10780106598 21560213196 28148056117 56296112234 84444168351 112592224468 168888336702 253332505053 337776673404 506665010106 1013330020212