Search a number
-
+
1220011102000 = 24536125139841
BaseRepresentation
bin10001110000001110010…
…101000000111100110000
311022122001200010102022101
4101300032111000330300
5124442040320231000
62332244303550144
7154100004156205
oct21601625007460
94278050112271
101220011102000
11430449509219
121785432bb354
138b07b37b972
144309809dcac
1521b068eae6a
hex11c0e540f30

1220011102000 has 160 divisors (see below), whose sum is σ = 3010368449088. Its totient is φ = 478080000000.

The previous prime is 1220011101961. The next prime is 1220011102001. The reversal of 1220011102000 is 2011100221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1220011102001) 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, 30602080 + ... + 30641920.

Almost surely, 21220011102000 is an apocalyptic number.

1220011102000 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 1220011102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505184224544).

1220011102000 is an abundant number, since it is smaller than the sum of its proper divisors (1790357347088).

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

1220011102000 is a wasteful number, since it uses less digits than its factorization.

1220011102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40176 (or 40160 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1220011102000 its reverse (2011100221), we get a palindrome (1222022202221).

The spelling of 1220011102000 in words is "one trillion, two hundred twenty billion, eleven million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 251 305 400 488 500 502 610 976 1000 1004 1220 1255 1525 2000 2008 2440 2510 3050 4016 4880 5020 6100 6275 7625 10040 12200 12550 15250 15311 20080 24400 25100 30500 30622 31375 39841 50200 61000 61244 62750 76555 79682 100400 122000 122488 125500 153110 159364 199205 244976 251000 306220 318728 382775 398410 502000 612440 637456 765550 796820 996025 1224880 1531100 1593640 1913875 1992050 2430301 3062200 3187280 3827750 3984100 4860602 4980125 6124400 7655500 7968200 9721204 9960250 10000091 12151505 15311000 15936400 19442408 19920500 20000182 24303010 30622000 38884816 39841000 40000364 48606020 50000455 60757525 79682000 80000728 97212040 100000910 121515050 160001456 194424080 200001820 243030100 250002275 303787625 400003640 486060200 500004550 607575250 610005551 800007280 972120400 1000009100 1215150500 1220011102 1250011375 2000018200 2430301000 2440022204 2500022750 3050027755 4000036400 4860602000 4880044408 5000045500 6100055510 9760088816 10000091000 12200111020 15250138775 20000182000 24400222040 30500277550 48800444080 61000555100 76250693875 122001110200 152501387750 244002220400 305002775500 610005551000 1220011102000