Search a number
-
+
1120220122300 = 225261263698261
BaseRepresentation
bin10000010011010010010…
…100101000110010111100
310222002111001210102000021
4100103102110220302330
5121323202322403200
62214342204541524
7143635045634266
oct20232224506274
93862431712007
101120220122300
113a20a0067174
121611335518a4
1381836c64196
143c30caccb36
151e215bed41a
hex104d2528cbc

1120220122300 has 72 divisors (see below), whose sum is σ = 2480126074272. Its totient is φ = 439065888000.

The previous prime is 1120220122279. The next prime is 1120220122309. The reversal of 1120220122300 is 32210220211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120220122309) 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 23 ways as a sum of consecutive naturals, for example, 1255170 + ... + 1953430.

It is an arithmetic number, because the mean of its divisors is an integer number (34446195476).

Almost surely, 21120220122300 is an apocalyptic number.

1120220122300 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 1120220122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240063037136).

1120220122300 is an abundant number, since it is smaller than the sum of its proper divisors (1359905951972).

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

1120220122300 is a wasteful number, since it uses less digits than its factorization.

1120220122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698599 (or 698592 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1120220122300 its reverse (32210220211), we get a palindrome (1152430342511).

The spelling of 1120220122300 in words is "one trillion, one hundred twenty billion, two hundred twenty million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 263 305 526 610 1052 1220 1315 1525 2630 3050 5260 6100 6575 13150 16043 26300 32086 64172 80215 160430 320860 401075 698261 802150 1396522 1604300 2793044 3491305 6982610 13965220 17456525 34913050 42593921 69826100 85187842 170375684 183642643 212969605 367285286 425939210 734570572 851878420 918213215 1064848025 1836426430 2129696050 3672852860 4259392100 4591066075 9182132150 11202201223 18364264300 22404402446 44808804892 56011006115 112022012230 224044024460 280055030575 560110061150 1120220122300