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10230111540 = 22335111722241
BaseRepresentation
bin10011000011100001…
…10001110100110100
3222101221202111211000
421201300301310310
5131422402032130
64411042443300
7511340341035
oct114160616464
928357674730
1010230111540
11437a6a4240
121b96063530
13c7058844c
146d0942a8c
153ed1b4260
hex261c31d34

10230111540 has 96 divisors (see below), whose sum is σ = 34720398720. Its totient is φ = 2480025600.

The previous prime is 10230111517. The next prime is 10230111547. The reversal of 10230111540 is 4511103201.

10230111540 is a `hidden beast` number, since 10 + 2 + 3 + 0 + 111 + 540 = 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 (10230111547) 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, 855181 + ... + 867060.

It is an arithmetic number, because the mean of its divisors is an integer number (361670820).

Almost surely, 210230111540 is an apocalyptic number.

10230111540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10230111540 is an abundant number, since it is smaller than the sum of its proper divisors (24490287180).

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

10230111540 is a wasteful number, since it uses less digits than its factorization.

10230111540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722270 (or 1722262 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10230111540 its reverse (4511103201), we get a palindrome (14741214741).

The spelling of 10230111540 in words is "ten billion, two hundred thirty million, one hundred eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 1722241 3444482 5166723 6888964 8611205 10333446 15500169 17222410 18944651 20666892 25833615 31000338 34444820 37889302 46500507 51667230 56833953 62000676 75778604 77500845 93001014 94723255 103334460 113667906 155001690 170501859 186002028 189446510 227335812 232502535 284169765 310003380 341003718 378893020 465005070 511505577 568339530 682007436 852509295 930010140 1023011154 1136679060 1705018590 2046022308 2557527885 3410037180 5115055770 10230111540