Search a number
-
+
20121102132 = 22329471518147
BaseRepresentation
bin10010101111010011…
…111010011100110100
31220221021101220010220
4102233103322130310
5312202000232012
613124333014340
71311422355225
oct225723723464
956837356126
1020121102132
11859592392a
123a966243b0
131b887c93c1
14d8c40b24c
157cb6dd08c
hex4af4fa734

20121102132 has 96 divisors (see below), whose sum is σ = 49936158720. Its totient is φ = 6295228800.

The previous prime is 20121102109. The next prime is 20121102143. The reversal of 20121102132 is 23120112102.

It is a congruent number.

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, 2465683 + ... + 2473829.

It is an arithmetic number, because the mean of its divisors is an integer number (520168320).

Almost surely, 220121102132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24968079360).

20121102132 is an abundant number, since it is smaller than the sum of its proper divisors (29815056588).

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

20121102132 is a wasteful number, since it uses less digits than its factorization.

20121102132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8381 (or 8379 counting only the distinct ones).

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

Adding to 20121102132 its reverse (23120112102), we get a palindrome (43241214234).

The spelling of 20121102132 in words is "twenty billion, one hundred twenty-one million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 141 151 174 188 282 302 348 453 564 604 906 1363 1812 2726 4089 4379 5452 7097 8147 8178 8758 13137 14194 16294 16356 17516 21291 24441 26274 28388 32588 42582 48882 52548 85164 97764 205813 236263 382909 411626 472526 617439 708789 765818 823252 945052 1148727 1230197 1234878 1417578 1531636 2297454 2460394 2469756 2835156 3690591 4594908 4920788 7381182 11104361 14762364 22208722 33313083 35675713 44417444 57819259 66626166 71351426 107027139 115638518 133252332 142702852 173457777 214054278 231277036 346915554 428108556 693831108 1676758511 3353517022 5030275533 6707034044 10060551066 20121102132