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136312020312 = 233131743597671
BaseRepresentation
bin111111011110011010…
…1000101110101011000
3111000211211010002200220
41332330311011311120
54213131334122222
6142342035400040
712563640024636
oct1767465056530
9430754102626
10136312020312
115289a644446
1222502753020
13cb147b96b0
1468518da356
15382c081b5c
hex1fbcd45d58

136312020312 has 128 divisors (see below), whose sum is σ = 397619228160. Its totient is φ = 38556887040.

The previous prime is 136312020253. The next prime is 136312020331. The reversal of 136312020312 is 213020213631.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 70764 + ... + 526907.

It is an arithmetic number, because the mean of its divisors is an integer number (3106400220).

Almost surely, 2136312020312 is an apocalyptic number.

136312020312 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 136312020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198809614080).

136312020312 is an abundant number, since it is smaller than the sum of its proper divisors (261307207848).

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

136312020312 is a wasteful number, since it uses less digits than its factorization.

136312020312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597753 (or 597749 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 136312020312 its reverse (213020213631), we get a palindrome (349332233943).

The spelling of 136312020312 in words is "one hundred thirty-six billion, three hundred twelve million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 43 51 52 68 78 86 102 104 129 136 156 172 204 221 258 312 344 408 442 516 559 663 731 884 1032 1118 1326 1462 1677 1768 2193 2236 2652 2924 3354 4386 4472 5304 5848 6708 8772 9503 13416 17544 19006 28509 38012 57018 76024 114036 228072 597671 1195342 1793013 2390684 3586026 4781368 7172052 7769723 10160407 14344104 15539446 20320814 23309169 25699853 30481221 31078892 40641628 46618338 51399706 60962442 62157784 77099559 81283256 93236676 102799412 121924884 132085291 154199118 186473352 205598824 243849768 264170582 308398236 334098089 396255873 436897501 528341164 616796472 668196178 792511746 873795002 1002294267 1056682328 1310692503 1336392356 1585023492 1747590004 2004588534 2621385006 2672784712 3170046984 3495180008 4009177068 5242770012 5679667513 8018354136 10485540024 11359335026 17039002539 22718670052 34078005078 45437340104 68156010156 136312020312