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113140403010 = 232537101336397
BaseRepresentation
bin110100101011110110…
…0011000101101000010
3101211000221121222102200
41221113230120231002
53323202420344020
6123550451254030
711113503362235
oct1512754305502
9354027558380
10113140403010
1143a898983a8
1219b165aa316
13a89100003b
1456942d741c
152e22b72590
hex1a57b18b42

113140403010 has 96 divisors (see below), whose sum is σ = 305107603632. Its totient is φ = 29064614400.

The previous prime is 113140402997. The next prime is 113140403017. The reversal of 113140403010 is 10304041311.

113140403010 is a `hidden beast` number, since 11 + 314 + 0 + 40 + 301 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 113140067769 + 335241 = 336363^2 + 579^2 .

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 (113140403017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168132 + ... + 504528.

Almost surely, 2113140403010 is an apocalyptic number.

113140403010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113140403010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152553801816).

113140403010 is an abundant number, since it is smaller than the sum of its proper divisors (191967200622).

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

113140403010 is a wasteful number, since it uses less digits than its factorization.

113140403010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336548 (or 336545 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113140403010 its reverse (10304041311), we get a palindrome (123444444321).

The spelling of 113140403010 in words is "one hundred thirteen billion, one hundred forty million, four hundred three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 101 111 185 202 222 303 333 370 505 555 606 666 909 1010 1110 1515 1665 1818 3030 3330 3737 4545 7474 9090 11211 18685 22422 33633 37370 56055 67266 112110 168165 336330 336397 672794 1009191 1681985 2018382 3027573 3363970 5045955 6055146 10091910 12446689 15137865 24893378 30275730 33976097 37340067 62233445 67952194 74680134 101928291 112020201 124466890 169880485 186700335 203856582 224040402 305784873 339760970 373400670 509641455 560101005 611569746 1019282910 1120202010 1257115589 1528924365 2514231178 3057848730 3771346767 6285577945 7542693534 11314040301 12571155890 18856733835 22628080602 37713467670 56570201505 113140403010