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10212301341132 = 22311296014438919
BaseRepresentation
bin1001010010011011110010…
…0110000000000111001100
31100011021201211122210222220
42110212330212000013030
52314304243120404012
633415244431335340
72102546230101522
oct224467446000714
940137654583886
1010212301341132
113288015966950
12118b267081550
13591028b89577
142743c6c70312
1512a9a330e08c
hex949bc9801cc

10212301341132 has 96 divisors (see below), whose sum is σ = 26936076787200. Its totient is φ = 2982952896000.

The previous prime is 10212301341131. The next prime is 10212301341181. The reversal of 10212301341132 is 23114310321201.

It is not an unprimeable number, because it can be changed into a prime (10212301341131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81169 + ... + 4520087.

It is an arithmetic number, because the mean of its divisors is an integer number (280584133200).

Almost surely, 210212301341132 is an apocalyptic number.

10212301341132 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 10212301341132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13468038393600).

10212301341132 is an abundant number, since it is smaller than the sum of its proper divisors (16723775446068).

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

10212301341132 is a wasteful number, since it uses less digits than its factorization.

10212301341132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439567 (or 4439565 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10212301341132 its reverse (23114310321201), we get a palindrome (33326611662333).

The spelling of 10212301341132 in words is "ten trillion, two hundred twelve billion, three hundred one million, three hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 601 638 957 1202 1276 1803 1914 2404 3606 3828 6611 7212 13222 17429 19833 26444 34858 39666 52287 69716 79332 104574 191719 209148 383438 575157 766876 1150314 2300628 4438919 8877838 13316757 17755676 26633514 48828109 53267028 97656218 128728651 146484327 195312436 257457302 292968654 386185953 514914604 585937308 772371906 1416015161 1544743812 2667790319 2832030322 4248045483 5335580638 5664060644 8003370957 8496090966 10671161276 16006741914 16992181932 29345693509 32013483828 58691387018 77365919251 88037080527 117382774036 154731838502 176074161054 232097757753 309463677004 352148322108 464195515506 851025111761 928391031012 1702050223522 2553075335283 3404100447044 5106150670566 10212301341132