Search a number
-
+
1220101400320 = 28511292988101
BaseRepresentation
bin10001110000010011101…
…101011110011100000000
311022122021222001001022121
4101300103231132130000
5124442231424302240
62332301251214024
7154102151533465
oct21602355363400
94278258031277
101220101400320
11430495483730
121785695a7314
138b093ca661a
14430a608766c
1521b0e7d604a
hex11c13b5e700

1220101400320 has 144 divisors (see below), whose sum is σ = 3298147463520. Its totient is φ = 428374016000.

The previous prime is 1220101400311. The next prime is 1220101400321. The reversal of 1220101400320 is 230041010221.

It is a super-2 number, since 2×12201014003202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1220101400294 and 1220101400303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220101400321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085731 + ... + 1902370.

It is an arithmetic number, because the mean of its divisors is an integer number (22903801830).

Almost surely, 21220101400320 is an apocalyptic number.

1220101400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220101400320 is an abundant number, since it is smaller than the sum of its proper divisors (2078046063200).

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

1220101400320 is a wasteful number, since it uses less digits than its factorization.

1220101400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988162 (or 2988148 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1220101400320 its reverse (230041010221), we get a palindrome (1450142410541).

The spelling of 1220101400320 in words is "one trillion, two hundred twenty billion, one hundred one million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 256 290 319 320 352 440 464 580 638 640 704 880 928 1160 1276 1280 1408 1595 1760 1856 2320 2552 2816 3190 3520 3712 4640 5104 6380 7040 7424 9280 10208 12760 14080 18560 20416 25520 37120 40832 51040 81664 102080 204160 408320 2988101 5976202 11952404 14940505 23904808 29881010 32869111 47809616 59762020 65738222 86654929 95619232 119524040 131476444 164345555 173309858 191238464 239048080 262952888 328691110 346619716 382476928 433274645 478096160 525905776 657382220 693239432 764953856 866549290 953204219 956192320 1051811552 1314764440 1386478864 1733098580 1906408438 1912384640 2103623104 2629528880 2772957728 3466197160 3812816876 3824769280 4207246208 4766021095 5259057760 5545915456 6932394320 7625633752 8414492416 9532042190 10518115520 11091830912 13864788640 15251267504 19064084380 21036231040 22183661824 27729577280 30502535008 38128168760 42072462080 55459154560 61005070016 76256337520 110918309120 122010140032 152512675040 244020280064 305025350080 610050700160 1220101400320