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122113322001300 = 22352782507704779
BaseRepresentation
bin11011110000111110111001…
…001011100010001110010100
3121000100220211100222000100210
4123300332321023202032110
5112001201040413020200
61111414030301405420
734502252645620530
oct3360767113421624
9530326740860323
10122113322001300
11359aaa72866923
1211842468569870
13531a3104a4586
14222245dda8bc0
15e1b6ab1c7650
hex6f0fb92e2394

122113322001300 has 144 divisors (see below), whose sum is σ = 403793518338560. Its totient is φ = 27911238560640.

The previous prime is 122113322001259. The next prime is 122113322001337. The reversal of 122113322001300 is 3100223311221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172912311 + ... + 173617089.

Almost surely, 2122113322001300 is an apocalyptic number.

122113322001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122113322001300 is an abundant number, since it is smaller than the sum of its proper divisors (281680196337260).

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

122113322001300 is a wasteful number, since it uses less digits than its factorization.

122113322001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787310 (or 787303 counting only the distinct ones).

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

Adding to 122113322001300 its reverse (3100223311221), we get a palindrome (125213545312521).

The spelling of 122113322001300 in words is "one hundred twenty-two trillion, one hundred thirteen billion, three hundred twenty-two million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 82507 165014 247521 330028 412535 495042 577549 704779 825070 990084 1155098 1237605 1409558 1650140 1732647 2062675 2114337 2310196 2475210 2819116 2887745 3465294 3523895 4125350 4228674 4933453 4950420 5775490 6188025 6930588 7047790 8250700 8457348 8663235 9866906 10571685 11550980 12376050 14095580 14438725 14800359 17326470 17619475 19733812 21143370 24667265 24752100 28877450 29600718 34652940 35238950 42286740 43316175 49334530 52858425 57754900 59201436 70477900 74001795 86632350 98669060 105716850 123336325 148003590 173264700 211433700 246672650 296007180 370008975 493345300 740017950 1480035900 58149200953 116298401906 174447602859 232596803812 290746004765 348895205718 407044406671 581492009530 697790411436 814088813342 872238014295 1162984019060 1221133220013 1453730023825 1628177626684 1744476028590 2035222033355 2442266440026 2907460047650 3488952057180 4070444066710 4361190071475 4884532880052 5814920095300 6105666100065 8140888133420 8722380142950 10176110166775 12211332200130 17444760285900 20352220333550 24422664400260 30528330500325 40704440667100 61056661000650 122113322001300