Search a number
-
+
23141225154100 = 2252536151709847
BaseRepresentation
bin1010100001011111111001…
…00000010100011000110100
310000221021112202202221022211
411100233330200110120310
511013121212114412400
6121114533154503204
74605620063210104
oct520577440243064
9100837482687284
1023141225154100
1174121583442a9
122718b11594b04
13cbb292466481
145a008137d204
152a1e52b54dba
hex150bfc814634

23141225154100 has 72 divisors (see below), whose sum is σ = 51172329011328. Its totient is φ = 9080350032000.

The previous prime is 23141225154053. The next prime is 23141225154107. The reversal of 23141225154100 is 145152214132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23141225154107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32245377 + ... + 32955223.

It is an arithmetic number, because the mean of its divisors is an integer number (710726791824).

Almost surely, 223141225154100 is an apocalyptic number.

23141225154100 is a gapful number since it is divisible by the number (20) 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 23141225154100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25586164505664).

23141225154100 is an abundant number, since it is smaller than the sum of its proper divisors (28031103857228).

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

23141225154100 is a wasteful number, since it uses less digits than its factorization.

23141225154100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716065 (or 716058 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 23141225154100 its reverse (145152214132), we get a palindrome (23286377368232).

The spelling of 23141225154100 in words is "twenty-three trillion, one hundred forty-one billion, two hundred twenty-five million, one hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 6151 12302 24604 30755 61510 123020 153775 307550 326003 615100 652006 709847 1304012 1419694 1630015 2839388 3260030 3549235 6520060 7098470 8150075 14196940 16300150 17746175 32600300 35492350 37621891 70984700 75243782 150487564 188109455 376218910 752437820 940547275 1881094550 3762189100 4366268897 8732537794 17465075588 21831344485 43662688970 87325377940 109156722425 218313444850 231412251541 436626889700 462824503082 925649006164 1157061257705 2314122515410 4628245030820 5785306288525 11570612577050 23141225154100