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1132023211320 = 2335139193351643
BaseRepresentation
bin10000011110010001110…
…101110110010100111000
311000012221122101110021110
4100132101311312110320
5122021340420230240
62224013322040320
7144533406350451
oct20362165662470
94005848343243
101132023211320
113a70a76556a1
121634883490a0
1382998383721
143cb0c4d0128
151e6a7024c80
hex10791d76538

1132023211320 has 128 divisors (see below), whose sum is σ = 3438234374400. Its totient is φ = 298147405824.

The previous prime is 1132023211303. The next prime is 1132023211357. The reversal of 1132023211320 is 231123202311.

It is a super-2 number, since 2×11320232113202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3043419 + ... + 3395061.

It is an arithmetic number, because the mean of its divisors is an integer number (26861206050).

Almost surely, 21132023211320 is an apocalyptic number.

1132023211320 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 1132023211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719117187200).

1132023211320 is an abundant number, since it is smaller than the sum of its proper divisors (2306211163080).

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

1132023211320 is a wasteful number, since it uses less digits than its factorization.

1132023211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351989 (or 351985 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1132023211320 its reverse (231123202311), we get a palindrome (1363146413631).

Subtracting from 1132023211320 its reverse (231123202311), we obtain a palindrome (900900009009).

The spelling of 1132023211320 in words is "one trillion, one hundred thirty-two billion, twenty-three million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 193 278 386 417 556 579 695 772 834 965 1112 1158 1390 1544 1668 1930 2085 2316 2780 2895 3336 3860 4170 4632 5560 5790 7720 8340 11580 16680 23160 26827 53654 80481 107308 134135 160962 214616 268270 321924 351643 402405 536540 643848 703286 804810 1054929 1073080 1406572 1609620 1758215 2109858 2813144 3219240 3516430 4219716 5274645 7032860 8439432 10549290 14065720 21098580 42197160 48878377 67867099 97756754 135734198 146635131 195513508 203601297 244391885 271468396 293270262 339335495 391027016 407202594 488783770 542936792 586540524 678670990 733175655 814405188 977567540 1018006485 1173081048 1357341980 1466351310 1628810376 1955135080 2036012970 2714683960 2932702620 4072025940 5865405240 8144051880 9433526761 18867053522 28300580283 37734107044 47167633805 56601160566 75468214088 94335267610 113202321132 141502901415 188670535220 226404642264 283005802830 377341070440 566011605660 1132023211320