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100120213212 = 223137379160687
BaseRepresentation
bin101110100111110100…
…0010011011011011100
3100120102112211210202220
41131033220103123130
53120021233310322
6113554455345340
710143033525225
oct1351750233334
9316375753686
10100120213212
1139508283068
12174a2082250
1395976ac716
144bbadd424c
15290ea8355c
hex174fa136dc

100120213212 has 48 divisors (see below), whose sum is σ = 235941404160. Its totient is φ = 33042183552.

The previous prime is 100120213187. The next prime is 100120213217. The reversal of 100120213212 is 212312021001.

It is a junction number, because it is equal to n+sod(n) for n = 100120213191 and 100120213200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120213217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542733 + ... + 703419.

It is an arithmetic number, because the mean of its divisors is an integer number (4915445920).

Almost surely, 2100120213212 is an apocalyptic number.

100120213212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100120213212 is an abundant number, since it is smaller than the sum of its proper divisors (135821190948).

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

100120213212 is a wasteful number, since it uses less digits than its factorization.

100120213212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161210 (or 161208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100120213212 its reverse (212312021001), we get a palindrome (312432234213).

The spelling of 100120213212 in words is "one hundred billion, one hundred twenty million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 137 274 379 411 548 758 822 1137 1516 1644 2274 4548 51923 103846 155769 160687 207692 311538 321374 482061 623076 642748 964122 1928244 22014119 44028238 60900373 66042357 88056476 121800746 132084714 182701119 243601492 264169428 365402238 730804476 8343351101 16686702202 25030053303 33373404404 50060106606 100120213212