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10013332322322 = 2337371232358099
BaseRepresentation
bin1001000110110110100100…
…0111011011100000010010
31022110021011100100101211000
42101231221013123200102
52303024301033303242
633144021131002430
72052303465251550
oct221555107334022
938407140311730
1010013332322322
1132106a305a11a
121158798899416
1357833a334044
1426890da82bd0
1512570a63aa4c
hex91b691db812

10013332322322 has 128 divisors (see below), whose sum is σ = 26120570112000. Its totient is φ = 2783355265728.

The previous prime is 10013332322221. The next prime is 10013332322333. The reversal of 10013332322322 is 22322323331001.

10013332322322 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 332 + 3 + 2 + 2 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 172320429 + ... + 172378527.

It is an arithmetic number, because the mean of its divisors is an integer number (204066954000).

Almost surely, 210013332322322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013332322322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13060285056000).

10013332322322 is an abundant number, since it is smaller than the sum of its proper divisors (16107237789678).

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

10013332322322 is a wasteful number, since it uses less digits than its factorization.

10013332322322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70477 (or 70471 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10013332322322 its reverse (22322323331001), we get a palindrome (32335655653323).

The spelling of 10013332322322 in words is "ten trillion, thirteen billion, three hundred thirty-two million, three hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1554 1998 2331 4662 6993 12323 13986 24646 36969 58099 73938 86261 110907 116198 172522 174297 221814 258783 332721 348594 406693 455951 517566 522891 665442 776349 813386 911902 1045782 1220079 1367853 1552698 1568673 2149663 2329047 2440158 2735706 3137346 3191657 3660237 4103559 4299326 4658094 6383314 6448989 7320474 8207118 9574971 10980711 12310677 12897978 15047641 19149942 19346967 21961422 24621354 28724913 30095282 38693934 45142923 57449826 58040901 86174739 90285846 116081802 135428769 172349478 270857538 406286307 715953977 812572614 1431907954 2147861931 4295723862 5011677839 6443585793 10023355678 12887171586 15035033517 19330757379 26490297149 30070067034 38661514758 45105100551 52980594298 79470891447 90210201102 135315301653 158941782894 185432080043 238412674341 270630603306 370864160086 476825348682 556296240129 715238023023 1112592480258 1430476046046 1668888720387 3337777440774 5006666161161 10013332322322