Search a number
-
+
122061145401 = 3413466324859
BaseRepresentation
bin111000110101101101…
…0010100010100111001
3102200001122120122110000
41301223122110110321
53444440123123101
6132024001543213
711550534421446
oct1615332242471
9380048518400
10122061145401
1147847375178
121b7a6044b09
13b68321cb30
145c9cd9a9cd
153295de5486
hex1c6b694539

122061145401 has 40 divisors (see below), whose sum is σ = 196414285760. Its totient is φ = 75095421408.

The previous prime is 122061145399. The next prime is 122061145403. The reversal of 122061145401 is 104541160221.

122061145401 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 6 + 114 + 540 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (122061145399) and next prime (122061145403).

It is not a de Polignac number, because 122061145401 - 21 = 122061145399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122061145403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4897710 + ... + 4922568.

It is an arithmetic number, because the mean of its divisors is an integer number (4910357144).

Almost surely, 2122061145401 is an apocalyptic number.

It is an amenable number.

122061145401 is a deficient number, since it is larger than the sum of its proper divisors (74353140359).

122061145401 is a wasteful number, since it uses less digits than its factorization.

122061145401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29547 (or 29538 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 122061145401 in words is "one hundred twenty-two billion, sixty-one million, one hundred forty-five thousand, four hundred one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 4663 13989 24859 41967 60619 74577 125901 181857 223731 323167 377703 545571 671193 969501 1636713 2013579 2908503 4910139 8725509 26176527 115917517 347752551 1043257653 1506927721 3129772959 4520783163 9389318877 13562349489 40687048467 122061145401