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32133123330 = 23571124235741
BaseRepresentation
bin11101111011010010…
…001000110100000010
310001221102010210110220
4131323102020310002
51011302034421310
622432312203510
72215201020210
oct357322106402
9101842123426
1032133123330
111269a346180
126289399596
1330512ac759
1417ab877cb0
15c81035670
hex77b488d02

32133123330 has 128 divisors (see below), whose sum is σ = 96205418496. Its totient is φ = 6673094400.

The previous prime is 32133123329. The next prime is 32133123343. The reversal of 32133123330 is 3332133123.

It is a super-2 number, since 2×321331233302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32133123330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5594260 + ... + 5600000.

It is an arithmetic number, because the mean of its divisors is an integer number (751604832).

Almost surely, 232133123330 is an apocalyptic number.

32133123330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32133123330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48102709248).

32133123330 is an abundant number, since it is smaller than the sum of its proper divisors (64072295166).

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

32133123330 is a wasteful number, since it uses less digits than its factorization.

32133123330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8192.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 32133123330 its reverse (3332133123), we get a palindrome (35465256453).

The spelling of 32133123330 in words is "thirty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 2423 4846 5741 7269 11482 12115 14538 16961 17223 24230 26653 28705 33922 34446 36345 40187 50883 53306 57410 63151 72690 79959 80374 84805 86115 101766 120561 126302 133265 159918 169610 172230 186571 189453 200935 241122 254415 266530 315755 373142 378906 399795 401870 442057 508830 559713 602805 631510 799590 884114 932855 947265 1119426 1205610 1326171 1865710 1894530 2210285 2652342 2798565 4420570 5597130 6630855 13261710 13910443 27820886 41731329 69552215 83462658 97373101 139104430 153014873 194746202 208656645 292119303 306029746 417313290 459044619 486865505 584238606 765074365 918089238 973731010 1071104111 1460596515 1530148730 2142208222 2295223095 2921193030 3213312333 4590446190 5355520555 6426624666 10711041110 16066561665 32133123330