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201213411432 = 233117920694663
BaseRepresentation
bin1011101101100101000…
…0010000000001101000
3201020100220112101001120
42323121100100001220
511244041113131212
6232234113415240
720352153530445
oct2733120200150
9636326471046
10201213411432
11783747a8170
1232bb5b6a520
1315c8882abc7
149a4b3029cc
155379c5d88c
hex2ed9410068

201213411432 has 128 divisors (see below), whose sum is σ = 556098048000. Its totient is φ = 60159939840.

The previous prime is 201213411401. The next prime is 201213411437. The reversal of 201213411432 is 234114312102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (201213411437) 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, 43148733 + ... + 43153395.

It is an arithmetic number, because the mean of its divisors is an integer number (4344516000).

Almost surely, 2201213411432 is an apocalyptic number.

201213411432 is a gapful number since it is divisible by the number (22) 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 201213411432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278049024000).

201213411432 is an abundant number, since it is smaller than the sum of its proper divisors (354884636568).

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

201213411432 is a wasteful number, since it uses less digits than its factorization.

201213411432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6831 (or 6827 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 201213411432 its reverse (234114312102), we get a palindrome (435327723534).

The spelling of 201213411432 in words is "two hundred one billion, two hundred thirteen million, four hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 1738 1896 2069 2607 3476 4138 4663 5214 6207 6952 8276 9326 10428 12414 13989 16552 18652 20856 22759 24828 27978 37304 45518 49656 51293 55956 68277 91036 102586 111912 136554 153879 163451 182072 205172 273108 307758 326902 368377 410344 490353 546216 615516 653804 736754 980706 1105131 1231032 1307608 1473508 1797961 1961412 2210262 2947016 3595922 3922824 4052147 4420524 5393883 7191844 8104294 8841048 9647747 10787766 12156441 14383688 16208588 19295494 21575532 24312882 28943241 32417176 38590988 43151064 48625764 57886482 77181976 97251528 106125217 115772964 212250434 231545928 318375651 424500868 636751302 762172013 849001736 1273502604 1524344026 2286516039 2547005208 3048688052 4573032078 6097376104 8383892143 9146064156 16767784286 18292128312 25151676429 33535568572 50303352858 67071137144 100606705716 201213411432