Search a number
-
+
51105000510600 = 23352617138047003
BaseRepresentation
bin10111001111010110011110…
…11001101101010010001000
320200221120221100120021211220
423213223033121231102020
523144301020112314400
6300405151345122040
713523133360660561
oct1347531731552210
9220846840507756
1051105000510600
1115313566535773
1258945a9329320
1322692474a835a
14c896d0c67168
155d95596187a0
hex2e7acf66d488

51105000510600 has 96 divisors (see below), whose sum is σ = 158682270157920. Its totient is φ = 13605912517120.

The previous prime is 51105000510583. The next prime is 51105000510607. The reversal of 51105000510600 is 601500050115.

It is a super-2 number, since 2×511050005106002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51105000510607) 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, 68653302 + ... + 69393701.

It is an arithmetic number, because the mean of its divisors is an integer number (1652940314145).

Almost surely, 251105000510600 is an apocalyptic number.

51105000510600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51105000510600 is an abundant number, since it is smaller than the sum of its proper divisors (107577269647320).

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

51105000510600 is a wasteful number, since it uses less digits than its factorization.

51105000510600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138047639 (or 138047630 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 51105000510600 its reverse (601500050115), we get a palindrome (51706500560715).

The spelling of 51105000510600 in words is "fifty-one trillion, one hundred five billion, five hundred ten thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 617 1234 1851 2468 3085 3702 4936 6170 7404 9255 12340 14808 15425 18510 24680 30850 37020 46275 61700 74040 92550 123400 185100 370200 138047003 276094006 414141009 552188012 690235015 828282018 1104376024 1380470030 1656564036 2070705045 2760940060 3313128072 3451175075 4141410090 5521880120 6902350150 8282820180 10353525225 13804700300 16565640360 20707050450 27609400600 41414100900 82828201800 85175000851 170350001702 255525002553 340700003404 425875004255 511050005106 681400006808 851750008510 1022100010212 1277625012765 1703500017020 2044200020424 2129375021275 2555250025530 3407000034040 4258750042550 5110500051060 6388125063825 8517500085100 10221000102120 12776250127650 17035000170200 25552500255300 51105000510600