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113020120320 = 2835275310691
BaseRepresentation
bin110100101000010000…
…1100010110100000000
3101210201120021222121020
41221100201202310000
53322431122322240
6123530513225440
711110513112652
oct1512041426400
9353646258536
10113020120320
1143a27a03218
1219aa2262280
13a872107553
1456823466d2
152e173130d0
hex1a50862d00

113020120320 has 144 divisors (see below), whose sum is σ = 361122898752. Its totient is φ = 30124933120.

The previous prime is 113020120319. The next prime is 113020120321. The reversal of 113020120320 is 23021020311.

It is an interprime number because it is at equal distance from previous prime (113020120319) and next prime (113020120321).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113020120320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113020120321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10566175 + ... + 10576865.

It is an arithmetic number, because the mean of its divisors is an integer number (2507797908).

Almost surely, 2113020120320 is an apocalyptic number.

113020120320 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 113020120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180561449376).

113020120320 is an abundant number, since it is smaller than the sum of its proper divisors (248102778432).

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

113020120320 is a wasteful number, since it uses less digits than its factorization.

113020120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13468 (or 13454 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113020120320 its reverse (23021020311), we get a palindrome (136041140631).

The spelling of 113020120320 in words is "one hundred thirteen billion, twenty million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 2753 3840 5506 8259 10691 11012 13765 16518 21382 22024 27530 32073 33036 41295 42764 44048 53455 55060 64146 66072 82590 85528 88096 106910 110120 128292 132144 160365 165180 171056 176192 213820 220240 256584 264288 320730 330360 342112 352384 427640 440480 513168 528576 641460 660720 684224 704768 855280 880960 1026336 1057152 1282920 1321440 1368448 1710560 1761920 2052672 2114304 2565840 2642880 2736896 3421120 3523840 4105344 5131680 5285760 6842240 8210688 10263360 10571520 13684480 20526720 29432323 41053440 58864646 88296969 117729292 147161615 176593938 235458584 294323230 353187876 441484845 470917168 588646460 706375752 882969690 941834336 1177292920 1412751504 1765939380 1883668672 2354585840 2825503008 3531878760 3767337344 4709171680 5651006016 7063757520 7534674688 9418343360 11302012032 14127515040 18836686720 22604024064 28255030080 37673373440 56510060160 113020120320