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10001320020 = 2233550336821
BaseRepresentation
bin10010101000010000…
…00000100001010100
3221211000020200212000
421110020000201110
5130440314220040
64332230555300
7502561550256
oct112410004124
927730220760
1010001320020
11427253683a
121b31508b30
13c35060253
146ac3c7cd6
153d806e130
hex254200854

10001320020 has 96 divisors (see below), whose sum is σ = 31177923840. Its totient is φ = 2661644160.

The previous prime is 10001320019. The next prime is 10001320027. The reversal of 10001320020 is 2002310001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001319984 and 10001320011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001320027) 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, 253210 + ... + 290030.

It is an arithmetic number, because the mean of its divisors is an integer number (324770040).

Almost surely, 210001320020 is an apocalyptic number.

10001320020 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 10001320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15588961920).

10001320020 is an abundant number, since it is smaller than the sum of its proper divisors (21176603820).

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

10001320020 is a wasteful number, since it uses less digits than its factorization.

10001320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37342 (or 37334 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10001320020 its reverse (2002310001), we get a palindrome (12003630021).

The spelling of 10001320020 in words is "ten billion, one million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 503 540 1006 1509 2012 2515 3018 4527 5030 6036 7545 9054 10060 13581 15090 18108 22635 27162 30180 36821 45270 54324 67905 73642 90540 110463 135810 147284 184105 220926 271620 331389 368210 441852 552315 662778 736420 994167 1104630 1325556 1656945 1988334 2209260 3313890 3976668 4970835 6627780 9941670 18520963 19883340 37041926 55562889 74083852 92604815 111125778 166688667 185209630 222251556 277814445 333377334 370419260 500066001 555628890 666754668 833443335 1000132002 1111257780 1666886670 2000264004 2500330005 3333773340 5000660010 10001320020