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20302200213312 = 2632291861248119
BaseRepresentation
bin1001001110110111110010…
…11011101000111101000000
32122212212112020110221122210
410213123321123220331000
510130112401223311222
6111102411345302120
74163533306322313
oct447337133507500
978785466427583
1020302200213312
11651812981a146
12233a851934940
13b43648bba0c4
145028bb69497a
152531907a4d0c
hex1276f96e8f40

20302200213312 has 112 divisors (see below), whose sum is σ = 53980014569600. Its totient is φ = 6734200412160.

The previous prime is 20302200213293. The next prime is 20302200213329. The reversal of 20302200213312 is 21331200220302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81700389 + ... + 81948507.

It is an arithmetic number, because the mean of its divisors is an integer number (481964415800).

Almost surely, 220302200213312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20302200213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26990007284800).

20302200213312 is an abundant number, since it is smaller than the sum of its proper divisors (33677814356288).

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

20302200213312 is a wasteful number, since it uses less digits than its factorization.

20302200213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250224 (or 250214 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20302200213312 its reverse (21331200220302), we get a palindrome (41633400433614).

The spelling of 20302200213312 in words is "twenty trillion, three hundred two billion, two hundred million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 229 458 687 916 1374 1832 1861 2748 3664 3722 5496 5583 7328 7444 10992 11166 14656 14888 21984 22332 29776 43968 44664 59552 89328 119104 178656 248119 357312 426169 496238 744357 852338 992476 1278507 1488714 1704676 1984952 2557014 2977428 3409352 3969904 5114028 5954856 6818704 7939808 10228056 11909712 13637408 15879616 20456112 23819424 27274816 40912224 47638848 56819251 81824448 113638502 170457753 227277004 340915506 454554008 461749459 681831012 909108016 923498918 1363662024 1385248377 1818216032 1846997836 2727324048 2770496754 3636432064 3693995672 5454648096 5540993508 7387991344 10909296192 11081987016 14775982688 22163974032 29551965376 44327948064 88655896128 105740626111 211481252222 317221878333 422962504444 634443756666 845925008888 1268887513332 1691850017776 2537775026664 3383700035552 5075550053328 6767400071104 10151100106656 20302200213312