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10402033001334 = 23137397182310331
BaseRepresentation
bin1001011101011110100101…
…1110110110001101110110
31100211102110120020210100220
42113113221132312031312
52330411330422020314
634042343351315210
72122344034436022
oct227275136661566
940742416223326
1010402033001334
1133505284a3407
1211bbb9797bb06
135a5ba4a27020
1427d6652db382
151308aa06c3a9
hex975e97b6376

10402033001334 has 128 divisors (see below), whose sum is σ = 22960233934848. Its totient is φ = 3122221178880.

The previous prime is 10402033001323. The next prime is 10402033001359. The reversal of 10402033001334 is 43310033020401.

It is a Curzon number.

It is a congruent number.

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, 1006870549 + ... + 1006880879.

It is an arithmetic number, because the mean of its divisors is an integer number (179376827616).

Almost surely, 210402033001334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10402033001334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11480116967424).

10402033001334 is an abundant number, since it is smaller than the sum of its proper divisors (12558200933514).

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

10402033001334 is a wasteful number, since it uses less digits than its factorization.

10402033001334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12342.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10402033001334 its reverse (43310033020401), we get a palindrome (53712066021735).

The spelling of 10402033001334 in words is "ten trillion, four hundred two billion, thirty-three million, one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 73 78 97 146 194 219 291 438 582 949 1261 1823 1898 2522 2847 3646 3783 5469 5694 7081 7566 10331 10938 14162 20662 21243 23699 30993 42486 47398 61986 71097 92053 133079 134303 142194 176831 184106 266158 268606 276159 353662 399237 402909 530493 552318 754163 798474 805818 1002107 1060986 1508326 1730027 2004214 2262489 2298803 3006321 3460054 4524978 4597606 5190081 6012642 6896409 9804119 10380162 12908663 13027391 13792818 18833413 19608238 25817326 26054782 29412357 37666826 38725989 39082173 56500239 58824714 73153811 77451978 78164346 113000478 146307622 167812619 219461433 244834369 335625238 438922866 489668738 503437857 734503107 950999543 1006875714 1374839149 1469006214 1826841061 1901999086 2749678298 2852998629 3653682122 4124517447 5480523183 5705997258 8249034894 10961046366 17872908937 23748933793 35745817874 47497867586 53618726811 71246801379 107237453622 133359397453 142493602758 266718794906 400078192359 800156384718 1733672166889 3467344333778 5201016500667 10402033001334