Search a number
-
+
1123315012120 = 235726711501999
BaseRepresentation
bin10000010110001010110…
…010101101001000011000
310222101110202101002201011
4100112022302231020120
5121401022120341440
62220013243103304
7144104536026550
oct20261262551030
93871422332634
101123315012120
113a3439048754
12161857b11b34
1381c0b1c0232
143c523b56160
151e3477879ea
hex1058acad218

1123315012120 has 64 divisors (see below), whose sum is σ = 2889607680000. Its totient is φ = 384992127360.

The previous prime is 1123315012069. The next prime is 1123315012121. The reversal of 1123315012120 is 212105133211.

It is a junction number, because it is equal to n+sod(n) for n = 1123315012091 and 1123315012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123315012121) 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, 3120 + ... + 1498879.

It is an arithmetic number, because the mean of its divisors is an integer number (45150120000).

Almost surely, 21123315012120 is an apocalyptic number.

1123315012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123315012120 is an abundant number, since it is smaller than the sum of its proper divisors (1766292667880).

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

1123315012120 is a wasteful number, since it uses less digits than its factorization.

1123315012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504688 (or 1504684 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The spelling of 1123315012120 in words is "one trillion, one hundred twenty-three billion, three hundred fifteen million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2671 5342 10684 13355 18697 21368 26710 37394 53420 74788 93485 106840 149576 186970 373940 747880 1501999 3003998 6007996 7509995 10513993 12015992 15019990 21027986 30039980 42055972 52569965 60079960 84111944 105139930 210279860 420559720 4011839329 8023678658 16047357316 20059196645 28082875303 32094714632 40118393290 56165750606 80236786580 112331501212 140414376515 160473573160 224663002424 280828753030 561657506060 1123315012120