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1013232120212 = 2213232291270141
BaseRepresentation
bin11101011111010010101…
…01110011000110010100
310120212022212222210000102
432233221111303012110
5113100044410321322
62053250012433232
7133126556626664
oct16575125630624
93525285883012
101013232120212
11360789131734
12144455478818
137471678c880
143707d9561a4
151b553269792
hexebe9573194

1013232120212 has 72 divisors (see below), whose sum is σ = 2065022266440. Its totient is φ = 431888244480.

The previous prime is 1013232120211. The next prime is 1013232120221. The reversal of 1013232120212 is 2120212323101.

It can be written as a sum of positive squares in 4 ways, for example, as 38202266116 + 975029854096 = 195454^2 + 987436^2 .

It is a super-3 number, since 3×10132321202123 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013232120211) 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, 162662 + ... + 1432802.

Almost surely, 21013232120212 is an apocalyptic number.

It is an amenable number.

1013232120212 is an abundant number, since it is smaller than the sum of its proper divisors (1051790146228).

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

1013232120212 is a wasteful number, since it uses less digits than its factorization.

1013232120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270233 (or 1270208 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1013232120212 its reverse (2120212323101), we get a palindrome (3133444443313).

The spelling of 1013232120212 in words is "one trillion, thirteen billion, two hundred thirty-two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 13 23 26 29 46 52 58 92 116 299 377 529 598 667 754 1058 1196 1334 1508 2116 2668 6877 8671 13754 15341 17342 27508 30682 34684 61364 199433 398866 797732 1270141 2540282 5080564 16511833 29213243 33023666 36834089 58426486 66047332 73668178 116852972 147336356 379772159 478843157 671904589 759544318 847184047 957686314 1343809178 1519088636 1694368094 1915372628 2687618356 3388736188 8734759657 11013392611 17469519314 19485233081 22026785222 34939038628 38970466162 44053570444 77940932324 253308030053 506616060106 1013232120212