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101112522212 = 2213373277569
BaseRepresentation
bin101111000101011000…
…1101010010111100100
3100122222201001022211002
41132022301222113210
53124034301202322
6114241144132432
710206443154332
oct1361261522744
9318881038732
10101112522212
1139977423549
121771a467118
1396c5156000
144c72adcb52
15296bc45c92
hex178ac6a5e4

101112522212 has 96 divisors (see below), whose sum is σ = 195355826400. Its totient is φ = 45781272576.

The previous prime is 101112522211. The next prime is 101112522341. The reversal of 101112522212 is 212225211101.

It can be written as a sum of positive squares in 16 ways, for example, as 99441838336 + 1670683876 = 315344^2 + 40874^2 .

It is not an unprimeable number, because it can be changed into a prime (101112522211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177701864 + ... + 177702432.

It is an arithmetic number, because the mean of its divisors is an integer number (2034956525).

Almost surely, 2101112522212 is an apocalyptic number.

It is an amenable number.

101112522212 is a deficient number, since it is larger than the sum of its proper divisors (94243304188).

101112522212 is a wasteful number, since it uses less digits than its factorization.

101112522212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 101112522212 its reverse (212225211101), we get a palindrome (313337733313).

The spelling of 101112522212 in words is "one hundred one billion, one hundred twelve million, five hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 13 26 52 73 146 169 277 292 338 554 569 676 949 1108 1138 1898 2197 2276 3601 3796 4394 7202 7397 8788 12337 14404 14794 20221 24674 29588 40442 41537 46813 49348 80884 83074 93626 96161 157613 160381 166148 187252 192322 262873 315226 320762 384644 525746 539981 608569 630452 641524 1051492 1079962 1217138 1250093 2048969 2159924 2434276 2500186 3417349 4097938 5000372 6834698 7019753 8195876 11505749 13669396 14039506 23011498 26636597 28079012 44425537 46022996 53273194 88851074 91256789 106546388 149574737 177702148 182513578 299149474 346275761 365027156 598298948 692551522 1385103044 1944471581 3888943162 7777886324 25278130553 50556261106 101112522212