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101132213112 = 23327238724311
BaseRepresentation
bin101111000101111110…
…0110001101101111000
3100200001002002201122200
41132023330301231320
53124104321304422
6114243130150200
710210102425240
oct1361374615570
9320032081580
10101132213112
1139987552617
1217724b82360
1396c925b828
144c75586b20
15296d8352ac
hex178bf31b78

101132213112 has 96 divisors (see below), whose sum is σ = 326638241280. Its totient is φ = 27638614080.

The previous prime is 101132213107. The next prime is 101132213123. The reversal of 101132213112 is 211312231101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 4350564 + ... + 4373747.

It is an arithmetic number, because the mean of its divisors is an integer number (3402481680).

Almost surely, 2101132213112 is an apocalyptic number.

101132213112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101132213112 is an abundant number, since it is smaller than the sum of its proper divisors (225506028168).

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

101132213112 is a wasteful number, since it uses less digits than its factorization.

101132213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8724353 (or 8724346 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101132213112 its reverse (211312231101), we get a palindrome (312444444213).

The spelling of 101132213112 in words is "one hundred one billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 8724311 17448622 26172933 34897244 52345866 61070177 69794488 78518799 104691732 122140354 157037598 183210531 200659153 209383464 244280708 314075196 366421062 401318306 488561416 549631593 601977459 628150392 732842124 802636612 1099263186 1203954918 1404614071 1465684248 1605273224 1805932377 2198526372 2407909836 2809228142 3611864754 4213842213 4397052744 4815819672 5618456284 7223729508 8427684426 11236912568 12641526639 14447459016 16855368852 25283053278 33710737704 50566106556 101132213112