Search a number
-
+
11321113312020 = 2235372547251969
BaseRepresentation
bin1010010010111110011011…
…1011111111101100010100
31111002021202212000002021210
42210233212323333230110
52440441120001441040
640024503032141420
72245631512251351
oct244574673775424
944067685002253
1011321113312020
113675291362006
12132a135b37870
1364176548c4a5
142b1d327a5628
1514974c6e9480
hexa4be6effb14

11321113312020 has 144 divisors (see below), whose sum is σ = 32638694074560. Its totient is φ = 2931988340736.

The previous prime is 11321113312013. The next prime is 11321113312039. The reversal of 11321113312020 is 2021331112311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44804596 + ... + 45056564.

It is an arithmetic number, because the mean of its divisors is an integer number (226657597740).

Almost surely, 211321113312020 is an apocalyptic number.

11321113312020 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 11321113312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16319347037280).

11321113312020 is an abundant number, since it is smaller than the sum of its proper divisors (21317580762540).

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

11321113312020 is a wasteful number, since it uses less digits than its factorization.

11321113312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252602 (or 252563 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11321113312020 its reverse (2021331112311), we get a palindrome (13342444424331).

The spelling of 11321113312020 in words is "eleven trillion, three hundred twenty-one billion, one hundred thirteen million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 547 555 740 1094 1110 1369 1641 2188 2220 2735 2738 3282 4107 5470 5476 6564 6845 8205 8214 10940 13690 16410 16428 20239 20535 27380 32820 40478 41070 60717 80956 82140 101195 121434 202390 242868 251969 303585 404780 503938 607170 748843 755907 1007876 1214340 1259845 1497686 1511814 2246529 2519690 2995372 3023628 3744215 3779535 4493058 5039380 7488430 7559070 8986116 9322853 11232645 14976860 15118140 18645706 22465290 27968559 37291412 44930580 46614265 55937118 93228530 111874236 137827043 139842795 186457060 275654086 279685590 344945561 413481129 551308172 559371180 689135215 689891122 826962258 1034836683 1378270430 1379782244 1653924516 1724727805 2067405645 2069673366 2756540860 3449455610 4134811290 4139346732 5099600591 5174183415 6898911220 8269622580 10199201182 10348366830 15298801773 20398402364 20696733660 25498002955 30597603546 50996005910 61195207092 76494008865 101992011820 152988017730 188685221867 305976035460 377370443734 566055665601 754740887468 943426109335 1132111331202 1886852218670 2264222662404 2830278328005 3773704437340 5660556656010 11321113312020