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10021231101042 = 234722133993251
BaseRepresentation
bin1001000111010011111111…
…1010111000010001110010
31022111000112211021221020000
42101310333322320101302
52303141440130213132
633151405013130430
72053003306622130
oct221647772702162
938430484257200
1010021231101042
113213a86781517
12115a222029a16
13578cc88c67c5
1426905cb1c750
15125a1dcde87c
hex91d3feb8472

10021231101042 has 80 divisors (see below), whose sum is σ = 25674438030912. Its totient is φ = 2861914356000.

The previous prime is 10021231100999. The next prime is 10021231101097. The reversal of 10021231101042 is 24010113212001.

10021231101042 is a `hidden beast` number, since 100 + 212 + 311 + 0 + 1 + 0 + 42 = 666.

It is a super-2 number, since 2×100212311010422 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 512917 + ... + 4506167.

Almost surely, 210021231101042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021231101042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12837219015456).

10021231101042 is an abundant number, since it is smaller than the sum of its proper divisors (15653206929870).

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

10021231101042 is a wasteful number, since it uses less digits than its factorization.

10021231101042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3995485 (or 3995476 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10021231101042 its reverse (24010113212001), we get a palindrome (34031344313043).

The spelling of 10021231101042 in words is "ten trillion, twenty-one billion, two hundred thirty-one million, one hundred one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 2213 4426 6639 13278 15491 19917 30982 39834 46473 59751 92946 119502 139419 179253 278838 358506 418257 836514 1254771 2509542 3993251 7986502 11979753 23959506 27952757 35939259 55905514 71878518 83858271 107817777 167716542 215635554 251574813 323453331 503149626 646906662 754724439 1509448878 2264173317 4528346634 8837064463 17674128926 26511193389 53022386778 61859451241 79533580167 123718902482 159067160334 185578353723 238600740501 371156707446 477201481002 556735061169 715802221503 1113470122338 1431604443006 1670205183507 3340410367014 5010615550521 10021231101042