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142103532312 = 23327297741227
BaseRepresentation
bin1000010001011000000…
…1111101001100011000
3111120210102212101121100
42010112001331030120
54312012001013222
6145140443511400
713160313044400
oct2042601751430
9446712771540
10142103532312
11552a18150a5
122365a228560
1310528618881
146c40b57800
153a6a7354ac
hex211607d318

142103532312 has 144 divisors (see below), whose sum is σ = 448167737160. Its totient is φ = 40558468608.

The previous prime is 142103532299. The next prime is 142103532313. The reversal of 142103532312 is 213235301241.

142103532312 is a `hidden beast` number, since 1 + 421 + 0 + 3 + 5 + 3 + 231 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142103532313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3426243 + ... + 3467469.

Almost surely, 2142103532312 is an apocalyptic number.

142103532312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142103532312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224083868580).

142103532312 is an abundant number, since it is smaller than the sum of its proper divisors (306064204848).

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

142103532312 is a wasteful number, since it uses less digits than its factorization.

142103532312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42230 (or 42216 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 142103532312 its reverse (213235301241), we get a palindrome (355338833553).

The spelling of 142103532312 in words is "one hundred forty-two billion, one hundred three million, five hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 977 1176 1764 1954 2931 3528 3908 5862 6839 7816 8793 11724 13678 17586 20517 23448 27356 35172 41034 41227 47873 54712 61551 70344 82068 82454 95746 123102 123681 143619 164136 164908 191492 246204 247362 287238 288589 329816 371043 382984 430857 492408 494724 574476 577178 742086 861714 865767 989448 1148952 1154356 1484172 1723428 1731534 2020123 2308712 2597301 2968344 3446856 3463068 4040246 5194602 6060369 6926136 8080492 10389204 12120738 16160984 18181107 20778408 24241476 36362214 40278779 48482952 72724428 80557558 120836337 145448856 161115116 241672674 281951453 322230232 362509011 483345348 563902906 725018022 845854359 966690696 1127805812 1450036044 1691708718 1973660171 2255611624 2537563077 2900072088 3383417436 3947320342 5075126154 5920980513 6766834872 7894640684 10150252308 11841961026 15789281368 17762941539 20300504616 23683922052 35525883078 47367844104 71051766156 142103532312