Search a number
-
+
1153241624031 = 37201832720917
BaseRepresentation
bin10000110010000010100…
…011101010110111011111
311002020201101120111112220
4100302002203222313133
5122343314323432111
62241443014200423
7146214255031140
oct20620243526737
94066641514486
101153241624031
114050a5917172
1216760a353113
138499a2cb613
143db62539ac7
151eee9c16e06
hex10c828eaddf

1153241624031 has 16 divisors (see below), whose sum is σ = 1757408285184. Its totient is φ = 658962320544.

The previous prime is 1153241623997. The next prime is 1153241624053. The reversal of 1153241624031 is 1304261423511.

It is not a de Polignac number, because 1153241624031 - 27 = 1153241623903 is a prime.

It is a super-2 number, since 2×11532416240312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1153241623983 and 1153241624001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153241625031) 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, 936616 + ... + 1784301.

It is an arithmetic number, because the mean of its divisors is an integer number (109838017824).

Almost surely, 21153241624031 is an apocalyptic number.

1153241624031 is a deficient number, since it is larger than the sum of its proper divisors (604166661153).

1153241624031 is a wasteful number, since it uses less digits than its factorization.

1153241624031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741110.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 1153241624031 in words is "one trillion, one hundred fifty-three billion, two hundred forty-one million, six hundred twenty-four thousand, thirty-one".

Divisors: 1 3 7 21 20183 60549 141281 423843 2720917 8162751 19046419 57139257 54916267811 164748803433 384413874677 1153241624031