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122117370521 = 2232417972851
BaseRepresentation
bin111000110111011000…
…0110011001010011001
3102200012120101011210212
41301232300303022121
54000044021324041
6132033331020505
711552116344206
oct1615660631231
9380176334725
10122117370521
1147876087a13
121b800a3a735
13b691a77833
145ca6634cad
15329acee8eb
hex1c6ec33299

122117370521 has 16 divisors (see below), whose sum is σ = 123371770368. Its totient is φ = 120871008000.

The previous prime is 122117370511. The next prime is 122117370523. The reversal of 122117370521 is 125073711221.

It is a cyclic number.

It is not a de Polignac number, because 122117370521 - 214 = 122117354137 is a prime.

It is a super-2 number, since 2×1221173705212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122117370523) 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 15 ways as a sum of consecutive naturals, for example, 42831746 + ... + 42834596.

It is an arithmetic number, because the mean of its divisors is an integer number (7710735648).

Almost surely, 2122117370521 is an apocalyptic number.

It is an amenable number.

122117370521 is a deficient number, since it is larger than the sum of its proper divisors (1254399847).

122117370521 is a wasteful number, since it uses less digits than its factorization.

122117370521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112.

The product of its (nonzero) digits is 5880, while the sum is 32.

The spelling of 122117370521 in words is "one hundred twenty-two billion, one hundred seventeen million, three hundred seventy thousand, five hundred twenty-one".

Divisors: 1 223 241 797 2851 53743 177731 192077 635773 687091 2272247 42833171 153221293 506711081 547611527 122117370521