Search a number
-
+
1120431041300 = 2252233475032791
BaseRepresentation
bin10000010011011110111…
…001001110101100010100
310222010000202200012111002
4100103132321032230110
5121324120321310200
62214415141402432
7143643216466424
oct20233671165424
93863022605432
101120431041300
113a219912779a
12161192109418
138186b87241c
143c32cb14484
151e2294b2bd5
hex104dee4eb14

1120431041300 has 144 divisors (see below), whose sum is σ = 2550328768512. Its totient is φ = 426448598400.

The previous prime is 1120431041299. The next prime is 1120431041309. The reversal of 1120431041300 is 31401340211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120431041309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401442905 + ... + 401445695.

It is an arithmetic number, because the mean of its divisors is an integer number (17710616448).

Almost surely, 21120431041300 is an apocalyptic number.

1120431041300 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 1120431041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275164384256).

1120431041300 is an abundant number, since it is smaller than the sum of its proper divisors (1429897727212).

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

1120431041300 is a wasteful number, since it uses less digits than its factorization.

1120431041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1120431041300 its reverse (31401340211), we get a palindrome (1151832381511).

The spelling of 1120431041300 in words is "one trillion, one hundred twenty billion, four hundred thirty-one million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 347 460 503 575 694 1006 1150 1388 1735 2012 2300 2515 2791 3470 5030 5582 6940 7981 8675 10060 11164 11569 12575 13955 15962 17350 23138 25150 27910 31924 34700 39905 46276 50300 55820 57845 64193 69775 79810 115690 128386 139550 159620 174541 199525 231380 256772 279100 289225 320965 349082 399050 578450 641930 698164 798100 872705 968477 1156900 1283860 1403873 1604825 1745410 1936954 2807746 3209650 3490820 3873908 4014443 4363525 4842385 5615492 6419300 7019365 8028886 8727050 9684770 14038730 16057772 17454100 19369540 20072215 22274971 24211925 28077460 32289079 35096825 40144430 44549942 48423850 64578158 70193650 80288860 89099884 96847700 100361075 111374855 129156316 140387300 161445395 200722150 222749710 322890790 401444300 445499420 487143931 556874275 645781580 807226975 974287862 1113748550 1614453950 1948575724 2227497100 2435719655 3228907900 4871439310 9742878620 11204310413 12178598275 22408620826 24357196550 44817241652 48714393100 56021552065 112043104130 224086208260 280107760325 560215520650 1120431041300