Search a number
-
+
113022301400 = 23527152115277
BaseRepresentation
bin110100101000010100…
…1110111010011011000
3101210201201101210110222
41221100221313103120
53322432202121100
6123531032055212
711110540465541
oct1512051672330
9353651353428
10113022301400
1143a29162968
1219aa2b34508
13a8726bc228
1456827534c8
152e175e4485
hex1a50a774d8

113022301400 has 96 divisors (see below), whose sum is σ = 267006883680. Its totient is φ = 44483712000.

The previous prime is 113022301351. The next prime is 113022301417. The reversal of 113022301400 is 4103220311.

It is a super-2 number, since 2×1130223014002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7390562 + ... + 7405838.

It is an arithmetic number, because the mean of its divisors is an integer number (2781321705).

Almost surely, 2113022301400 is an apocalyptic number.

113022301400 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 113022301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133503441840).

113022301400 is an abundant number, since it is smaller than the sum of its proper divisors (153984582280).

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

113022301400 is a wasteful number, since it uses less digits than its factorization.

113022301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15885 (or 15876 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 113022301400 its reverse (4103220311), we get a palindrome (117125521711).

The spelling of 113022301400 in words is "one hundred thirteen billion, twenty-two million, three hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 521 568 710 1042 1420 1775 2084 2605 2840 3550 4168 5210 7100 10420 13025 14200 15277 20840 26050 30554 36991 52100 61108 73982 76385 104200 122216 147964 152770 184955 295928 305540 369910 381925 611080 739820 763850 924775 1084667 1479640 1527700 1849550 2169334 3055400 3699100 4338668 5423335 7398200 7959317 8677336 10846670 15918634 21693340 27116675 31837268 39796585 43386680 54233350 63674536 79593170 108466700 159186340 198982925 216933400 318372680 397965850 565111507 795931700 1130223014 1591863400 2260446028 2825557535 4520892056 5651115070 11302230140 14127787675 22604460280 28255575350 56511150700 113022301400