Search a number
-
+
1120400542030 = 257119059160621
BaseRepresentation
bin10000010011011101000…
…100111000100101001110
310222002221122021200100111
4100103131010320211032
5121324040014321110
62214412131550234
7143642366321320
oct20233504704516
93862848250314
101120400542030
113a2182996190
12161183a5b37a
1381865454113
143c328a55610
151e22698ae8a
hex104dd13894e

1120400542030 has 64 divisors (see below), whose sum is σ = 2514646632960. Its totient is φ = 349175030400.

The previous prime is 1120400542007. The next prime is 1120400542069. The reversal of 1120400542030 is 302450040211.

It is a super-2 number, since 2×11204005420302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1120400541992 and 1120400542010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6895120 + ... + 7055740.

It is an arithmetic number, because the mean of its divisors is an integer number (39291353640).

Almost surely, 21120400542030 is an apocalyptic number.

1120400542030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1120400542030 is an abundant number, since it is smaller than the sum of its proper divisors (1394246090930).

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

1120400542030 is a wasteful number, since it uses less digits than its factorization.

1120400542030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169705.

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 1120400542030 its reverse (302450040211), we get a palindrome (1422850582241).

The spelling of 1120400542030 in words is "one trillion, one hundred twenty billion, four hundred million, five hundred forty-two thousand, thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 9059 18118 45295 63413 90590 99649 126826 160621 199298 317065 321242 498245 634130 697543 803105 996490 1124347 1395086 1606210 1766831 2248694 3487715 3533662 5621735 6975430 8834155 11243470 12367817 17668310 24735634 61839085 123678170 1455065639 2910131278 7275328195 10185459473 14550656390 16005722029 20370918946 32011444058 50927297365 80028610145 101854594730 112040054203 160057220290 224080108406 560200271015 1120400542030