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1211321113332 = 2231128913676857
BaseRepresentation
bin10001101000001000010…
…111010101101011110100
311021210122001101020220020
4101220020113111223310
5124321241201111312
62324250115205140
7153341444402241
oct21501027255364
94253561336806
101211321113332
1142779a20a100
12176918ba67b0
138a2c4bc3235
14428b1d065c8
1521798a5978c
hex11a085d5af4

1211321113332 has 144 divisors (see below), whose sum is σ = 3144385319040. Its totient is φ = 362624261120.

The previous prime is 1211321113259. The next prime is 1211321113337. The reversal of 1211321113332 is 2333111231121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211321113337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176651248 + ... + 176658104.

It is an arithmetic number, because the mean of its divisors is an integer number (21836009160).

Almost surely, 21211321113332 is an apocalyptic number.

1211321113332 is a gapful number since it is divisible by the number (12) 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 1211321113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572192659520).

1211321113332 is an abundant number, since it is smaller than the sum of its proper divisors (1933064205708).

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

1211321113332 is a wasteful number, since it uses less digits than its factorization.

1211321113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8342 (or 8329 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 1211321113332 its reverse (2333111231121), we get a palindrome (3544432344453).

The spelling of 1211321113332 in words is "one trillion, two hundred eleven billion, three hundred twenty-one million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 121 132 178 242 267 356 363 484 534 726 979 1068 1367 1452 1958 2734 2937 3916 4101 5468 5874 6857 8202 10769 11748 13714 15037 16404 20571 21538 27428 30074 32307 41142 43076 45111 60148 64614 75427 82284 90222 121663 129228 150854 165407 180444 226281 243326 301708 330814 364989 452562 486652 496221 610273 661628 729978 829697 905124 992442 1220546 1338293 1459956 1659394 1830819 1984884 2441092 2489091 2676586 3318788 3661638 4014879 4978182 5353172 6713003 7323276 8029758 9373519 9956364 13426006 14721223 16059516 18747038 20139009 26852012 28120557 29442446 37494076 40278018 44163669 56241114 58884892 73843033 80556036 88327338 103108709 112482228 147686066 176654676 206217418 221529099 295372132 309326127 412434836 443058198 618652254 834243191 886116396 1134195799 1237304508 1668486382 2268391598 2502729573 3336972764 3402587397 4536783196 5005459146 6805174794 9176675101 10010918292 13610349588 18353350202 27530025303 36706700404 55060050606 100943426111 110120101212 201886852222 302830278333 403773704444 605660556666 1211321113332