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1132102343100 = 2235241957115773
BaseRepresentation
bin10000011110010110100…
…011101101100110111100
311000020011011021202200010
4100132112203231212330
5122022021144434400
62224025230103220
7144535360066401
oct20362643554674
94006134252603
101132102343100
113a7138293563
121634aa94ab10
13829ab89b871
143cb18c0c2a8
151e6ade56450
hex107968ed9bc

1132102343100 has 144 divisors (see below), whose sum is σ = 3289325719680. Its totient is φ = 300626937600.

The previous prime is 1132102343077. The next prime is 1132102343107. The reversal of 1132102343100 is 13432012311.

It is a super-2 number, since 2×11321023431002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132102343107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71766814 + ... + 71782586.

It is an arithmetic number, because the mean of its divisors is an integer number (22842539720).

Almost surely, 21132102343100 is an apocalyptic number.

1132102343100 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 1132102343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644662859840).

1132102343100 is an abundant number, since it is smaller than the sum of its proper divisors (2157223376580).

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

1132102343100 is a wasteful number, since it uses less digits than its factorization.

1132102343100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16780 (or 16773 counting only the distinct ones).

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

Adding to 1132102343100 its reverse (13432012311), we get a palindrome (1145534355411).

The spelling of 1132102343100 in words is "one trillion, one hundred thirty-two billion, one hundred two million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 419 571 838 1142 1257 1676 1713 2095 2284 2514 2855 3426 4190 5028 5710 6285 6852 8380 8565 10475 11420 12570 14275 15773 17130 20950 25140 28550 31425 31546 34260 41900 42825 47319 57100 62850 63092 78865 85650 94638 125700 157730 171300 189276 236595 239249 315460 394325 473190 478498 717747 788650 946380 956996 1182975 1196245 1435494 1577300 2365950 2392490 2870988 3588735 4731900 4784980 5981225 6608887 7177470 9006383 11962450 13217774 14354940 17943675 18012766 19826661 23924900 26435548 27019149 33044435 35887350 36025532 39653322 45031915 54038298 66088870 71774700 79306644 90063830 99133305 108076596 132177740 135095745 165222175 180127660 198266610 225159575 270191490 330444350 396533220 450319150 495666525 540382980 660888700 675478725 900638300 991333050 1350957450 1982666100 2701914900 3773674477 7547348954 11321023431 15094697908 18868372385 22642046862 37736744770 45284093724 56605117155 75473489540 94341861925 113210234310 188683723850 226420468620 283025585775 377367447700 566051171550 1132102343100