Search a number
-
+
1056101100540 = 2235101971179479
BaseRepresentation
bin11110101111001001000…
…01111110101111111100
310201221222111112121122120
433113210201332233330
5114300343340204130
62125055515442540
7136205112144633
oct17274441765774
93657874477576
101056101100540
113779875a20a2
1215081a156450
1378789041a15
143918918251a
151c711a64910
hexf5e487ebfc

1056101100540 has 96 divisors (see below), whose sum is σ = 2989453340160. Its totient is φ = 278549856000.

The previous prime is 1056101100511. The next prime is 1056101100553. The reversal of 1056101100540 is 450011016501.

It is a super-2 number, since 2×10561011005402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056101100540.

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, 5794521 + ... + 5973999.

It is an arithmetic number, because the mean of its divisors is an integer number (31140138960).

Almost surely, 21056101100540 is an apocalyptic number.

1056101100540 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 1056101100540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494726670080).

1056101100540 is an abundant number, since it is smaller than the sum of its proper divisors (1933352239620).

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

1056101100540 is a wasteful number, since it uses less digits than its factorization.

1056101100540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180563 (or 180561 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 1056101100540 in words is "one trillion, fifty-six billion, one hundred one million, one hundred thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 971 1010 1212 1515 1942 2020 2913 3030 3884 4855 5826 6060 9710 11652 14565 19420 29130 58260 98071 179479 196142 294213 358958 392284 490355 538437 588426 717916 897395 980710 1076874 1176852 1471065 1794790 1961420 2153748 2692185 2942130 3589580 5384370 5884260 10768740 18127379 36254758 54382137 72509516 90636895 108764274 174274109 181273790 217528548 271910685 348548218 362547580 522822327 543821370 697096436 871370545 1045644654 1087642740 1742741090 2091289308 2614111635 3485482180 5228223270 10456446540 17601685009 35203370018 52805055027 70406740036 88008425045 105610110054 176016850090 211220220108 264025275135 352033700180 528050550270 1056101100540