Search a number
-
+
23150331541300 = 22525919123388169
BaseRepresentation
bin1010100001110000110110…
…10010011011011100110100
310000222011001102001100010211
411100320123102123130310
511013243334333310200
6121123040540155204
74606361540214655
oct520703322333464
9100864042040124
1023150331541300
117416000699837
12271a833238b04
13cbc0b3c85572
145a06a696952c
152a22d7348aba
hex150e1b49b734

23150331541300 has 144 divisors (see below), whose sum is σ = 51576148915200. Its totient is φ = 9016553420800.

The previous prime is 23150331541243. The next prime is 23150331541319. The reversal of 23150331541300 is 314513305132.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262523616 + ... + 262611784.

It is an arithmetic number, because the mean of its divisors is an integer number (358167700800).

Almost surely, 223150331541300 is an apocalyptic number.

23150331541300 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 23150331541300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25788074457600).

23150331541300 is an abundant number, since it is smaller than the sum of its proper divisors (28425817373900).

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

23150331541300 is a wasteful number, since it uses less digits than its factorization.

23150331541300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88666 (or 88659 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 23150331541300 its reverse (314513305132), we get a palindrome (23464844846432).

The spelling of 23150331541300 in words is "twenty-three trillion, one hundred fifty billion, three hundred thirty-one million, five hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 191 233 236 295 382 466 590 764 932 955 1165 1180 1475 1910 2330 2950 3820 4660 4775 5825 5900 9550 11269 11650 13747 19100 22538 23300 27494 44503 45076 54988 56345 68735 88169 89006 112690 137470 176338 178012 222515 225380 274940 281725 343675 352676 440845 445030 563450 687350 881690 890060 1112575 1126900 1374700 1763380 2204225 2225150 2625677 4408450 4450300 5201971 5251354 8816900 10403942 10502708 13128385 16840279 20543377 20807884 26009855 26256770 33680558 41086754 52019710 52513540 65641925 67361116 82173508 84201395 102716885 104039420 130049275 131283850 168402790 205433770 260098550 262567700 336805580 410867540 421006975 513584425 520197100 842013950 993576461 1027168850 1212059243 1684027900 1987152922 2054337700 2424118486 3923785007 3974305844 4848236972 4967882305 6060296215 7847570014 9935764610 12120592430 15695140028 19618925035 19871529220 24241184860 24839411525 30301481075 39237850070 49678823050 60602962150 78475700140 98094625175 99357646100 121205924300 196189250350 231503315413 392378500700 463006630826 926013261652 1157516577065 2315033154130 4630066308260 5787582885325 11575165770650 23150331541300