Search a number
-
+
122053455135443 = 13149120152465939
BaseRepresentation
bin11011110000000111001000…
…110101100100001011010011
3121000011012022010220010022202
4123300013020311210023103
5111444210434003313233
61111330325550553415
734465033253636156
oct3360071065441323
9530135263803282
10122053455135443
1135987641551487
121183293b20886b
13531478c4bc5b0
14221d5c108dc9d
15e19d554c1be8
hex6f01c8d642d3

122053455135443 has 16 divisors (see below), whose sum is σ = 132434525748000. Its totient is φ = 111815407065600.

The previous prime is 122053455135427. The next prime is 122053455135503. The reversal of 122053455135443 is 344531554350221.

It is a cyclic number.

It is not a de Polignac number, because 122053455135443 - 24 = 122053455135427 is a prime.

It is a super-3 number, since 3×1220534551354433 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122053455135413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23906633 + ... + 28559306.

It is an arithmetic number, because the mean of its divisors is an integer number (8277157859250).

Almost surely, 2122053455135443 is an apocalyptic number.

122053455135443 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122053455135443 is a deficient number, since it is larger than the sum of its proper divisors (10381070612557).

122053455135443 is a wasteful number, since it uses less digits than its factorization.

122053455135443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52467302.

The product of its (nonzero) digits is 4320000, while the sum is 47.

The spelling of 122053455135443 in words is "one hundred twenty-two trillion, fifty-three billion, four hundred fifty-five million, one hundred thirty-five thousand, four hundred forty-three".

Divisors: 1 13 149 1201 1937 15613 178949 2326337 52465939 682057207 7817424911 63011592739 101626523843 819150705607 9388727318111 122053455135443