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130033001140 = 22573148716151
BaseRepresentation
bin111100100011010010…
…0100010001010110100
3110102122020000212200021
41321012210202022310
54112301422014030
6135423014254524
712252224162410
oct1710644421264
9412566025607
10130033001140
115016826a3a9
122124b957444
13c35398a833
146417a19d40
1535b0bd197a
hex1e469222b4

130033001140 has 96 divisors (see below), whose sum is σ = 322264793088. Its totient is φ = 43128720000.

The previous prime is 130033001107. The next prime is 130033001141. The reversal of 130033001140 is 41100330031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130033001141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21137065 + ... + 21143215.

It is an arithmetic number, because the mean of its divisors is an integer number (3356924928).

Almost surely, 2130033001140 is an apocalyptic number.

130033001140 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 130033001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161132396544).

130033001140 is an abundant number, since it is smaller than the sum of its proper divisors (192231791948).

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

130033001140 is a wasteful number, since it uses less digits than its factorization.

130033001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11069 (or 11067 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 130033001140 its reverse (41100330031), we get a palindrome (171133331171).

The spelling of 130033001140 in words is "one hundred thirty billion, thirty-three million, one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 4871 6151 9742 12302 19484 24355 24604 30755 34097 43057 48710 61510 68194 86114 97420 123020 136388 151001 170485 172228 190681 215285 302002 340970 381362 430570 604004 681940 755005 762724 861140 953405 1057007 1334767 1510010 1906810 2114014 2669534 3020020 3813620 4228028 5285035 5339068 6673835 10570070 13347670 21140140 26695340 29961521 59923042 119846084 149807605 209730647 299615210 419461294 599230420 838922588 928807151 1048653235 1857614302 2097306470 3715228604 4194612940 4644035755 6501650057 9288071510 13003300114 18576143020 26006600228 32508250285 65016500570 130033001140