Search a number
-
+
1101022222000 = 24531941969151
BaseRepresentation
bin10000000001011010000…
…010011101011010110000
310220020221010120000200211
4100001122002131122300
5121014343142101000
62201445211153504
7142355233320421
oct20013202353260
93806833500624
101101022222000
11394a39382568
12159476145894
137ca977c606c
143b40b15b648
151d9905c17ba
hex1005a09d6b0

1101022222000 has 160 divisors (see below), whose sum is σ = 2809120204800. Its totient is φ = 416227680000.

The previous prime is 1101022221973. The next prime is 1101022222009. The reversal of 1101022222000 is 2222201011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1101022222009) 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, 15887425 + ... + 15956575.

It is an arithmetic number, because the mean of its divisors is an integer number (17557001280).

Almost surely, 21101022222000 is an apocalyptic number.

1101022222000 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 1101022222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404560102400).

1101022222000 is an abundant number, since it is smaller than the sum of its proper divisors (1708097982800).

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

1101022222000 is a wasteful number, since it uses less digits than its factorization.

1101022222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69612 (or 69596 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1101022222000 its reverse (2222201011), we get a palindrome (1103244423011).

The spelling of 1101022222000 in words is "one trillion, one hundred one billion, twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 419 475 500 760 838 950 1000 1520 1676 1900 2000 2095 2375 3352 3800 4190 4750 6704 7600 7961 8380 9500 10475 15922 16760 19000 20950 31844 33520 38000 39805 41900 52375 63688 69151 79610 83800 104750 127376 138302 159220 167600 199025 209500 276604 318440 345755 398050 419000 553208 636880 691510 796100 838000 995125 1106416 1313869 1383020 1592200 1728775 1990250 2627738 2766040 3184400 3457550 3980500 5255476 5532080 6569345 6915100 7961000 8643875 10510952 13138690 13830200 15922000 17287750 21021904 26277380 27660400 28974269 32846725 34575500 52554760 57948538 65693450 69151000 105109520 115897076 131386900 138302000 144871345 164233625 231794152 262773800 289742690 328467250 463588304 525547600 550511111 579485380 656934500 724356725 1101022222 1158970760 1313869000 1448713450 2202044444 2317941520 2627738000 2752555555 2897426900 3621783625 4404088888 5505111110 5794853800 7243567250 8808177776 11010222220 11589707600 13762777775 14487134500 22020444440 27525555550 28974269000 44040888880 55051111100 57948538000 68813888875 110102222200 137627777750 220204444400 275255555500 550511111000 1101022222000