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201140012232 = 233214923418009
BaseRepresentation
bin1011101101010011100…
…0010000010011001000
3201020011210102022021200
42323110320100103020
511243413320342412
6232222532304200
720350302615555
oct2732470202310
9636153368250
10201140012232
1178337325275
1232b95472060
1315c7656c123
149a41677a2c
1553735b09dc
hex2ed4e104c8

201140012232 has 96 divisors (see below), whose sum is σ = 548713035000. Its totient is φ = 66559933440.

The previous prime is 201140012173. The next prime is 201140012233. The reversal of 201140012232 is 232210041102.

It is a happy number.

201140012232 is a `hidden beast` number, since 20 + 1 + 1 + 400 + 12 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 161695668996 + 39444343236 = 402114^2 + 198606^2 .

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

It is not an unprimeable number, because it can be changed into a prime (201140012233) 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, 25110244 + ... + 25118252.

Almost surely, 2201140012232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201140012232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274356517500).

201140012232 is an abundant number, since it is smaller than the sum of its proper divisors (347573022768).

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

201140012232 is a wasteful number, since it uses less digits than its factorization.

201140012232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10511 (or 10504 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201140012232 its reverse (232210041102), we get a palindrome (433350053334).

The spelling of 201140012232 in words is "two hundred one billion, one hundred forty million, twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2341 2682 3576 4682 5364 7023 8009 9364 10728 14046 16018 18728 21069 24027 28092 32036 42138 48054 56184 64072 72081 84276 96108 144162 168552 192216 288324 348809 576648 697618 1046427 1193341 1395236 2092854 2386682 2790472 3139281 3580023 4185708 4773364 6278562 7160046 8371416 9546728 10740069 12557124 14320092 18749069 21480138 25114248 28640184 37498138 42960276 56247207 74996276 85920552 112494414 149992552 168741621 224988828 337483242 449977656 674966484 1349932968 2793611281 5587222562 8380833843 11174445124 16761667686 22348890248 25142501529 33523335372 50285003058 67046670744 100570006116 201140012232