Search a number
-
+
12210110000 = 245411210091
BaseRepresentation
bin10110101111100011…
…10111111000110000
31011111221110212002022
423113301313320300
5200001242010000
65335333011012
7611402136224
oct132761677060
934457425068
1012210110000
1151a631a400
122449183a68
1311c784b77a
1483b8b2784
154b6e25585
hex2d7c77e30

12210110000 has 150 divisors (see below), whose sum is σ = 32496875796. Its totient is φ = 4439600000.

The previous prime is 12210109993. The next prime is 12210110047. The reversal of 12210110000 is 1101221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12210110000.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1204955 + ... + 1215045.

Almost surely, 212210110000 is an apocalyptic number.

12210110000 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 12210110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248437898).

12210110000 is an abundant number, since it is smaller than the sum of its proper divisors (20286765796).

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

12210110000 is a wasteful number, since it uses less digits than its factorization.

12210110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10141 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12210110000 its reverse (1101221), we get a palindrome (12211211221).

The spelling of 12210110000 in words is "twelve billion, two hundred ten million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1375 1936 2000 2200 2420 2500 2750 3025 4400 4840 5000 5500 6050 6875 9680 10000 10091 11000 12100 13750 15125 20182 22000 24200 27500 30250 40364 48400 50455 55000 60500 75625 80728 100910 110000 111001 121000 151250 161456 201820 222002 242000 252275 302500 403640 444004 504550 555005 605000 807280 888008 1009100 1110010 1210000 1221011 1261375 1776016 2018200 2220020 2442022 2522750 2775025 4036400 4440040 4884044 5045500 5550050 6105055 6306875 8880080 9768088 10091000 11100100 12210110 12613750 13875125 19536176 20182000 22200200 24420220 25227500 27750250 30525275 44400400 48840440 50455000 55500500 61050550 69375625 97680880 100910000 111001000 122101100 138751250 152626375 222002000 244202200 277502500 305252750 488404400 555005000 610505500 763131875 1110010000 1221011000 1526263750 2442022000 3052527500 6105055000 12210110000