Search a number
-
+
1222020101000 = 235319131720183
BaseRepresentation
bin10001110010000110000…
…100101111001110001000
311022211020200102010211202
4101302012010233032020
5130010144121213000
62333215511443332
7154200540321146
oct21620604571610
94284220363752
101222020101000
1143128a541976
12178a04086548
138b30b65707a
1443208c1c596
1521bc2e89dd5
hex11c8612f388

1222020101000 has 128 divisors (see below), whose sum is σ = 2883709071360. Its totient is φ = 484690912000.

The previous prime is 1222020100969. The next prime is 1222020101011. The reversal of 1222020101000 is 1010202221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60536909 + ... + 60557091.

It is an arithmetic number, because the mean of its divisors is an integer number (22528977120).

Almost surely, 21222020101000 is an apocalyptic number.

1222020101000 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 1222020101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441854535680).

1222020101000 is an abundant number, since it is smaller than the sum of its proper divisors (1661688970360).

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

1222020101000 is a wasteful number, since it uses less digits than its factorization.

1222020101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20712 (or 20698 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1222020101000 its reverse (1010202221), we get a palindrome (1223030303221).

The spelling of 1222020101000 in words is "one trillion, two hundred twenty-two billion, twenty million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 191 200 250 317 382 500 634 764 955 1000 1268 1528 1585 1910 2536 3170 3820 4775 6340 7640 7925 9550 12680 15850 19100 20183 23875 31700 38200 39625 40366 47750 60547 63400 79250 80732 95500 100915 121094 158500 161464 191000 201830 242188 302735 317000 403660 484376 504575 605470 807320 1009150 1210940 1513675 2018300 2421880 2522875 3027350 3854953 4036600 5045750 6054700 6398011 7568375 7709906 10091500 12109400 12796022 15136750 15419812 19274765 20183000 25592044 30273500 30839624 31990055 38549530 51184088 60547000 63980110 77099060 96373825 127960220 154198120 159950275 192747650 255920440 319900550 385495300 481869125 639801100 770990600 799751375 963738250 1222020101 1279602200 1599502750 1927476500 2444040202 3199005500 3854953000 4888080404 6110100505 6398011000 9776160808 12220201010 24440402020 30550502525 48880804040 61101005050 122202010100 152752512625 244404020200 305505025250 611010050500 1222020101000