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113222311440 = 24357169939667
BaseRepresentation
bin110100101110010010…
…0110101111000010000
3101211020122202100200020
41221130210311320100
53323334402431230
6124002535023440
711115516524310
oct1513444657020
9354218670606
10113222311440
1144021052417
1219b39b0ab80
13a8a4c7ac74
1456a1139440
152e29e51810
hex1a5c935e10

113222311440 has 160 divisors (see below), whose sum is σ = 401376691200. Its totient is φ = 25863501312.

The previous prime is 113222311381. The next prime is 113222311441. The reversal of 113222311440 is 44113222311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113222311440.

It is not an unprimeable number, because it can be changed into a prime (113222311441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2834487 + ... + 2874153.

It is an arithmetic number, because the mean of its divisors is an integer number (2508604320).

Almost surely, 2113222311440 is an apocalyptic number.

113222311440 is a gapful number since it is divisible by the number (10) 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 113222311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200688345600).

113222311440 is an abundant number, since it is smaller than the sum of its proper divisors (288154379760).

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

113222311440 is a wasteful number, since it uses less digits than its factorization.

113222311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41389 (or 41383 counting only the distinct ones).

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

Adding to 113222311440 its reverse (44113222311), we get a palindrome (157335533751).

The spelling of 113222311440 in words is "one hundred thirteen billion, two hundred twenty-two million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1699 3398 5097 6796 8495 10194 11893 13592 16990 20388 23786 25485 27184 33980 35679 39667 40776 47572 50970 59465 67960 71358 79334 81552 95144 101940 118930 119001 135920 142716 158668 178395 190288 198335 203880 237860 238002 277669 285432 317336 356790 396670 407760 475720 476004 555338 570864 595005 634672 713580 793340 833007 951440 952008 1110676 1190010 1388345 1427160 1586680 1666014 1904016 2221352 2380020 2776690 2854320 3173360 3332028 4165035 4442704 4760040 5553380 6664056 8330070 9520080 11106760 13328112 16660140 22213520 33320280 66640560 67394233 134788466 202182699 269576932 336971165 404365398 471759631 539153864 673942330 808730796 943519262 1010913495 1078307728 1347884660 1415278893 1617461592 1887038524 2021826990 2358798155 2695769320 2830557786 3234923184 3774077048 4043653980 4717596310 5391538640 5661115572 7076394465 7548154096 8087307960 9435192620 11322231144 14152788930 16174615920 18870385240 22644462288 28305577860 37740770480 56611155720 113222311440