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213111001100312 = 23722861446342577
BaseRepresentation
bin110000011101001011000101…
…100001001011000000011000
31000221120012202002021201200022
4300131023011201023000120
5210413102312240202222
62033125501540530012
762613522163012400
oct6035130541130030
91027505662251608
10213111001100312
11619a3960368687
121ba9a40b0b0908
1391bb386978133
143a8a8adb85800
15199878d66b042
hexc1d2c584b018

213111001100312 has 96 divisors (see below), whose sum is σ = 465098766505920. Its totient is φ = 91278761333760.

The previous prime is 213111001100273. The next prime is 213111001100323. The reversal of 213111001100312 is 213001100111312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5005286768 + ... + 5005329344.

It is an arithmetic number, because the mean of its divisors is an integer number (4844778817770).

Almost surely, 2213111001100312 is an apocalyptic number.

It is an amenable number.

213111001100312 is an abundant number, since it is smaller than the sum of its proper divisors (251987765405608).

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

213111001100312 is a wasteful number, since it uses less digits than its factorization.

213111001100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49921 (or 49910 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 213111001100312 its reverse (213001100111312), we get a palindrome (426112101211624).

The spelling of 213111001100312 in words is "two hundred thirteen trillion, one hundred eleven billion, one million, one hundred thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 2861 4463 5722 8926 11444 17852 20027 22888 31241 35704 40054 42577 62482 80108 85154 124964 140189 160216 170308 218687 249928 280378 298039 340616 437374 560756 596078 874748 1121512 1192156 1749496 2086273 2384312 4172546 8345092 12768643 16690184 25537286 51074572 89380501 102149144 121812797 178761002 190021151 243625594 357522004 380042302 487251188 625663507 715044008 760084604 852689579 974502376 1251327014 1330148057 1520169208 1705379158 2502654028 2660296114 3410758316 5005308056 5320592228 5968827053 6821516632 9311036399 10641184456 11937654106 18622072798 23875308212 37244145596 47750616424 74488291192 543650513011 1087301026022 2174602052044 3805553591077 4349204104088 7611107182154 15222214364308 26638875137539 30444428728616 53277750275078 106555500550156 213111001100312