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20346513100232 = 231129139559110259
BaseRepresentation
bin1001010000001010010101…
…01011111000110111001000
32200001002220110222211202212
410220011022223320313020
510131324124323201412
6111135020432244252
74166662363541414
oct450051253706710
980032813884685
1020346513100232
1165349a9237a40
12234735a0a0688
13b4788b651757
14504ac2981d44
152543d5c19222
hex12814aaf8dc8

20346513100232 has 128 divisors (see below), whose sum is σ = 43374683520000. Its totient is φ = 8862813523200.

The previous prime is 20346513100213. The next prime is 20346513100283. The reversal of 20346513100232 is 23200131564302.

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, 1983279119 + ... + 1983289377.

It is an arithmetic number, because the mean of its divisors is an integer number (338864715000).

Almost surely, 220346513100232 is an apocalyptic number.

20346513100232 is a gapful number since it is divisible by the number (22) 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 20346513100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21687341760000).

20346513100232 is an abundant number, since it is smaller than the sum of its proper divisors (23028170419768).

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

20346513100232 is a wasteful number, since it uses less digits than its factorization.

20346513100232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16035 (or 16031 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 20346513100232 its reverse (23200131564302), we get a palindrome (43546644664534).

The spelling of 20346513100232 in words is "twenty trillion, three hundred forty-six billion, five hundred thirteen million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 139 232 278 319 556 638 1112 1276 1529 2552 3058 4031 5591 6116 8062 10259 11182 12232 16124 20518 22364 32248 41036 44341 44728 61501 82072 88682 112849 123002 162139 177364 225698 246004 297511 324278 354728 451396 492008 595022 648556 777149 902792 1190044 1297112 1426001 1554298 1783529 2380088 2852002 3108596 3272621 3567058 5704004 6217192 6545242 7134116 8548639 11408008 13090484 14268232 15686011 17097278 22537321 26180968 31372022 34194556 41354029 45074642 57358069 62744044 68389112 82708058 90149284 114716138 125488088 165416116 180298568 229432276 247910531 330832232 454894319 458864552 495821062 630938759 909788638 991642124 1261877518 1663384001 1819577276 1983284248 2523755036 3326768002 3639154552 5047510072 6653536004 7972771591 13307072008 15945543182 18297224011 31891086364 36594448022 63782172728 73188896044 87700487501 146377792088 175400975002 231210376139 350801950004 462420752278 701603900008 924841504556 1849683009112 2543314137529 5086628275058 10173256550116 20346513100232