Search a number
-
+
6111005101000 = 2353101239253159
BaseRepresentation
bin101100011101101010001…
…0010011100101111001000
3210122012120110012221122021
41120323110102130233020
51300110314301213000
620555205035334224
71200335255206222
oct130732422345710
923565513187567
106111005101000
111a4673207a848
1282842b2b1374
1335435ab61907
14171aba68b412
15a8e6441d11a
hex58ed449cbc8

6111005101000 has 128 divisors (see below), whose sum is σ = 14501814912000. Its totient is φ = 2410064160000.

The previous prime is 6111005100943. The next prime is 6111005101001. The reversal of 6111005101000 is 1015001116.

It is not an unprimeable number, because it can be changed into a prime (6111005101001) 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, 24012421 + ... + 24265579.

It is an arithmetic number, because the mean of its divisors is an integer number (113295429000).

Almost surely, 26111005101000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6111005101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250907456000).

6111005101000 is an abundant number, since it is smaller than the sum of its proper divisors (8390809811000).

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

6111005101000 is a wasteful number, since it uses less digits than its factorization.

6111005101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253520 (or 253506 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

It can be divided in two parts, 611100 and 5101000, that added together give a square (5712100 = 23902).

The spelling of 6111005101000 in words is "six trillion, one hundred eleven billion, five million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 239 250 404 478 500 505 808 956 1000 1010 1195 1912 2020 2390 2525 4040 4780 5050 5975 9560 10100 11950 12625 20200 23900 24139 25250 29875 47800 48278 50500 59750 96556 101000 119500 120695 193112 239000 241390 253159 482780 506318 603475 965560 1012636 1206950 1265795 2025272 2413900 2531590 3017375 4827800 5063180 6034750 6328975 10126360 12069500 12657950 24139000 25315900 25569059 31644875 50631800 51138118 60505001 63289750 102276236 121010002 126579500 127845295 204552472 242020004 253159000 255690590 302525005 484040008 511381180 605050010 639226475 1022762360 1210100020 1278452950 1512625025 2420200040 2556905900 3025250050 3196132375 5113811800 6050500100 6111005101 6392264750 7563125125 12101000200 12222010202 12784529500 15126250250 24444020404 25569059000 30252500500 30555025505 48888040808 60505001000 61110051010 122220102020 152775127525 244440204040 305550255050 611100510100 763875637625 1222201020200 1527751275250 3055502550500 6111005101000