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1132101323320 = 2351140110975849
BaseRepresentation
bin10000011110010110011…
…111110100101000111000
311000020011002100221210111
4100132112133310220320
5122022020414321240
62224025152154104
7144535345321312
oct20362637645070
94006132327714
101132101323320
113a7137757370
121634aa538934
13829ab602646
143cb18a247b2
151e6add041ea
hex107967f4a38

1132101323320 has 128 divisors (see below), whose sum is σ = 2788739928000. Its totient is φ = 410202112000.

The previous prime is 1132101323317. The next prime is 1132101323321. The reversal of 1132101323320 is 233231012311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1132101323291 and 1132101323300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132101323321) 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, 193551756 + ... + 193557604.

Almost surely, 21132101323320 is an apocalyptic number.

1132101323320 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 1132101323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394369964000).

1132101323320 is an abundant number, since it is smaller than the sum of its proper divisors (1656638604680).

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

1132101323320 is a wasteful number, since it uses less digits than its factorization.

1132101323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7369 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1132101323320 its reverse (233231012311), we get a palindrome (1365332335631).

The spelling of 1132101323320 in words is "one trillion, one hundred thirty-two billion, one hundred one million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 401 440 802 1097 1604 2005 2194 3208 4010 4388 4411 5485 5849 8020 8776 8822 10970 11698 12067 16040 17644 21940 22055 23396 24134 29245 35288 43880 44110 46792 48268 58490 60335 64339 88220 96536 116980 120670 128678 176440 233960 241340 257356 321695 439897 482680 514712 643390 879794 1286780 1759588 2199485 2345449 2573560 3519176 4398970 4690898 4838867 6416353 8797940 9381796 9677734 11727245 12832706 17595880 18763592 19355468 23454490 24194335 25665412 25799939 32081765 38710936 46908980 48388670 51330824 51599878 64163530 70579883 93817960 96777340 103199756 128327060 128999695 141159766 193554680 206399512 256654120 257999390 282319532 352899415 515998780 564639064 705798830 1031997560 1411597660 2572957553 2823195320 5145915106 10291830212 12864787765 20583660424 25729575530 28302533083 51459151060 56605066166 102918302120 113210132332 141512665415 226420264664 283025330830 566050661660 1132101323320