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13133221040 = 2451937293797
BaseRepresentation
bin11000011101100110…
…10000110010110000
31020220021110202101002
430032303100302300
5203344101033130
610011110301132
7643311352112
oct141663206260
936807422332
1013133221040
11562a3a7395
1226663577a8
131313b77614
148c83273b2
1551ceb9b45
hex30ecd0cb0

13133221040 has 160 divisors (see below), whose sum is σ = 33164752320. Its totient is φ = 4819709952.

The previous prime is 13133221033. The next prime is 13133221069. The reversal of 13133221040 is 4012233131.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 16477922 + ... + 16478718.

It is an arithmetic number, because the mean of its divisors is an integer number (207279702).

Almost surely, 213133221040 is an apocalyptic number.

13133221040 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 13133221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582376160).

13133221040 is an abundant number, since it is smaller than the sum of its proper divisors (20031531280).

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

13133221040 is a wasteful number, since it uses less digits than its factorization.

13133221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13133221040 its reverse (4012233131), we get a palindrome (17145454171).

The spelling of 13133221040 in words is "thirteen billion, one hundred thirty-three million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 37 38 40 74 76 80 95 148 152 185 190 293 296 304 370 380 586 592 703 740 760 797 1172 1406 1465 1480 1520 1594 2344 2812 2930 2960 3188 3515 3985 4688 5567 5624 5860 6376 7030 7970 10841 11134 11248 11720 12752 14060 15143 15940 21682 22268 23440 27835 28120 29489 30286 31880 43364 44536 54205 55670 56240 58978 60572 63760 75715 86728 89072 108410 111340 117956 121144 147445 151430 173456 205979 216820 222680 233521 235912 242288 294890 302860 411958 433640 445360 467042 471824 560291 589780 605720 823916 867280 934084 1029895 1120582 1167605 1179560 1211440 1647832 1868168 2059790 2241164 2335210 2359120 2801455 3295664 3736336 4119580 4436899 4482328 4670420 5602910 8239160 8640277 8873798 8964656 9340840 11205820 16478320 17280554 17747596 18681680 22184495 22411640 34561108 35495192 43201385 44368990 44823280 69122216 70990384 86402770 88737980 138244432 164165263 172805540 177475960 328330526 345611080 354951920 656661052 691222160 820826315 1313322104 1641652630 2626644208 3283305260 6566610520 13133221040