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10002021313320 = 2332537750902501
BaseRepresentation
bin1001000110001100011011…
…1011010110101100101000
31022102011222001200121102200
42101203012323112230220
52302333114424011240
633134510512500200
72051423261255121
oct221430673265450
938364861617380
1010002021313320
1132069193086a3
12115656084a660
13577256b559ca
14268159775048
15125297615930
hex918c6ed6b28

10002021313320 has 96 divisors (see below), whose sum is σ = 33385125238920. Its totient is φ = 2595119040000.

The previous prime is 10002021313313. The next prime is 10002021313387. The reversal of 10002021313320 is 2331312020001.

10002021313320 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 202 + 131 + 332 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9955905468804 + 46115844516 = 3155298^2 + 214746^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10002021313293 and 10002021313302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375437931 + ... + 375464570.

Almost surely, 210002021313320 is an apocalyptic number.

10002021313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002021313320 is an abundant number, since it is smaller than the sum of its proper divisors (23383103925600).

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

10002021313320 is a wasteful number, since it uses less digits than its factorization.

10002021313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750902555 (or 750902548 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10002021313320 its reverse (2331312020001), we get a palindrome (12333333333321).

The spelling of 10002021313320 in words is "ten trillion, two billion, twenty-one million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 750902501 1501805002 2252707503 3003610004 3754512505 4505415006 6007220008 6758122509 7509025010 9010830012 11263537515 13516245018 15018050020 18021660024 22527075030 27032490036 27783392537 30036100040 33790612545 45054150060 54064980072 55566785074 67581225090 83350177611 90108300120 111133570148 135162450180 138916962685 166700355222 222267140296 250050532833 270324900360 277833925370 333400710444 416750888055 500101065666 555667850740 666801420888 833501776110 1000202131332 1111335701480 1250252664165 1667003552220 2000404262664 2500505328330 3334007104440 5001010656660 10002021313320