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10200022211001 = 3737102367128239
BaseRepresentation
bin1001010001101110000010…
…1100110101100110111001
31100010010001002022101002110
42110123200230311212321
52314104121141223001
633405454151122533
72101633026156360
oct224334054654671
940103032271073
1010200022211001
113282894695717
1211889ba973449
1358cb1cc532ac
142739801527d7
1512a4d53033d6
hex946e0b359b9

10200022211001 has 32 divisors (see below), whose sum is σ = 15963249541120. Its totient is φ = 5670955198656.

The previous prime is 10200022210933. The next prime is 10200022211003. The reversal of 10200022211001 is 10011222000201.

10200022211001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10200022211001 - 221 = 10200020113849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10200022211003) 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, 79475040 + ... + 79603278.

It is an arithmetic number, because the mean of its divisors is an integer number (498851548160).

Almost surely, 210200022211001 is an apocalyptic number.

It is an amenable number.

10200022211001 is a deficient number, since it is larger than the sum of its proper divisors (5763227330119).

10200022211001 is a wasteful number, since it uses less digits than its factorization.

10200022211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230653.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200022211001 its reverse (10011222000201), we get a palindrome (20211244211202).

The spelling of 10200022211001 in words is "ten trillion, two hundred billion, twenty-two million, two hundred eleven thousand, one".

Divisors: 1 3 7 21 37 111 259 777 102367 128239 307101 384717 716569 897673 2149707 2693019 3787579 4744843 11362737 14234529 26513053 33213901 79539159 99641703 13127441713 39382325139 91892091991 275676275973 485715343381 1457146030143 3400007403667 10200022211001