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10002021332020 = 2253161277954743
BaseRepresentation
bin1001000110001100011011…
…1011011011010000110100
31022102011222001201120002021
42101203012323123100310
52302333114430111040
633134510513122524
72051423261363464
oct221430673332064
938364861646067
1010002021332020
113206919320753
121156560859444
13577256b61383
1426815977bba4
1512529761b24a
hex918c6edb434

10002021332020 has 96 divisors (see below), whose sum is σ = 22116820432896. Its totient is φ = 3794526604800.

The previous prime is 10002021331997. The next prime is 10002021332029. The reversal of 10002021332020 is 2023312020001.

It is a junction number, because it is equal to n+sod(n) for n = 10002021331985 and 10002021332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002021332029) 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, 9998769 + ... + 10953511.

It is an arithmetic number, because the mean of its divisors is an integer number (230383546176).

Almost surely, 210002021332020 is an apocalyptic number.

10002021332020 is a gapful number since it is divisible by the number (10) 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 10002021332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11058410216448).

10002021332020 is an abundant number, since it is smaller than the sum of its proper divisors (12114799100876).

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

10002021332020 is a wasteful number, since it uses less digits than its factorization.

10002021332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955121 (or 955119 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10002021332020 its reverse (2023312020001), we get a palindrome (12025333352021).

The spelling of 10002021332020 in words is "ten trillion, two billion, twenty-one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 61 62 122 124 155 244 277 305 310 554 610 620 1108 1220 1385 1891 2770 3782 5540 7564 8587 9455 16897 17174 18910 33794 34348 37820 42935 67588 84485 85870 168970 171740 337940 523807 954743 1047614 1909486 2095228 2619035 3818972 4773715 5238070 9547430 10476140 19094860 29597033 58239323 59194066 116478646 118388132 147985165 232957292 264463811 291196615 295970330 528927622 582393230 591940660 1057855244 1164786460 1322319055 1805419013 2644638110 3610838026 5289276220 7221676052 8198378141 9027095065 16132292471 16396756282 18054190130 32264584942 32793512564 36108380260 40991890705 64529169884 80661462355 81983781410 161322924710 163967562820 322645849420 500101066601 1000202133202 2000404266404 2500505333005 5001010666010 10002021332020