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145011522201 = 371319241311373
BaseRepresentation
bin1000011100001101011…
…1000011101010011001
3111212022002202120210120
42013003113003222121
54333440422202301
6150341204103453
713322343413130
oct2070327035231
9455262676716
10145011522201
1156554250a27
1224130094b89
131089cc26250
14703904c917
153b8aba1e36
hex21c35c3a99

145011522201 has 128 divisors (see below), whose sum is σ = 253016924160. Its totient is φ = 71738265600.

The previous prime is 145011522169. The next prime is 145011522217. The reversal of 145011522201 is 102225110541.

It is a happy number.

It is not a de Polignac number, because 145011522201 - 25 = 145011522169 is a prime.

It is a super-2 number, since 2×1450115222012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145011522281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 388770651 + ... + 388771023.

It is an arithmetic number, because the mean of its divisors is an integer number (1976694720).

Almost surely, 2145011522201 is an apocalyptic number.

It is an amenable number.

145011522201 is a deficient number, since it is larger than the sum of its proper divisors (108005401959).

145011522201 is a wasteful number, since it uses less digits than its factorization.

145011522201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967.

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 145011522201 its reverse (102225110541), we get a palindrome (247236632742).

The spelling of 145011522201 in words is "one hundred forty-five billion, eleven million, five hundred twenty-two thousand, two hundred one".

Divisors: 1 3 7 13 19 21 39 57 91 133 241 247 273 311 373 399 723 741 933 1119 1687 1729 2177 2611 3133 4043 4579 4849 5061 5187 5909 6531 7087 7833 9399 12129 13737 14547 17727 21261 21931 28301 32053 33943 41363 49609 59527 65793 74951 76817 84903 89893 92131 96159 101829 116003 124089 148827 178581 224853 230451 269679 276393 348009 416689 524657 537719 629251 644917 812021 974363 1168609 1250067 1424069 1508039 1573971 1613157 1707967 1887753 1934751 2204057 2436063 2923089 3505827 4272207 4524117 5123901 6612171 6820541 8180263 9968483 10556273 11955769 15428399 18512897 20461623 22203571 24540789 27956723 28652741 29905449 31668819 35867307 46285197 55538691 66610713 83870169 85958223 129590279 155424997 195697061 200569187 363437399 388770837 466274991 531177737 587091183 601707561 1090312197 1593533211 2544061793 3718244159 6905310581 7632185379 11154732477 20715931743 48337174067 145011522201