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212302113303020 = 225131789635358937
BaseRepresentation
bin110000010001011001110000…
…000011000110100111101100
31000211200212212022012002212012
4300101121300003012213230
5210311324212001144040
62031310124444100352
762501215165124036
oct6021316003064754
91024625768162765
10212302113303020
1161711903289274
121b9896a42346b8
139160007575310
143a5d697294c56
1519826e9e62865
hexc116700c69ec

212302113303020 has 96 divisors (see below), whose sum is σ = 508429114135488. Its totient is φ = 73769140887552.

The previous prime is 212302113302999. The next prime is 212302113303031. The reversal of 212302113303020 is 20303311203212.

It is a super-2 number, since 2×2123021133030202 (a number of 29 digits) contains 22 as substring.

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, 36936992 + ... + 42295928.

It is an arithmetic number, because the mean of its divisors is an integer number (5296136605578).

Almost surely, 2212302113303020 is an apocalyptic number.

212302113303020 is a gapful number since it is divisible by the number (20) 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 212302113303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254214557067744).

212302113303020 is an abundant number, since it is smaller than the sum of its proper divisors (296127000832468).

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

212302113303020 is a wasteful number, since it uses less digits than its factorization.

212302113303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367939 (or 5367937 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 212302113303020 its reverse (20303311203212), we get a palindrome (232605424506232).

The spelling of 212302113303020 in words is "two hundred twelve trillion, three hundred two billion, one hundred thirteen million, three hundred three thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 8963 17926 35852 44815 89630 116519 152371 179260 233038 304742 466076 582595 609484 761855 1165190 1523710 1980823 2330380 3047420 3961646 5358937 7923292 9904115 10717874 19808230 21435748 26794685 39616460 53589370 69666181 91101929 107178740 139332362 182203858 278664724 348330905 364407716 455509645 696661810 911019290 1184325077 1393323620 1822038580 2368650154 4737300308 5921625385 11843250770 23686501540 48032152331 96064304662 192128609324 240160761655 480321523310 624417980303 816546589627 960643046620 1248835960606 1633093179254 2497671921212 3122089901515 3266186358508 4082732948135 6244179803030 8165465896270 10615105665151 12488359606060 16330931792540 21230211330302 42460422660604 53075528325755 106151056651510 212302113303020