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230020222011201 = 3215110311086715107
BaseRepresentation
bin110100010011001111000001…
…100111111100011101000001
31010011102201101202121102102100
4310103033001213330131001
5220122122403313324301
62133113455312341013
766310261350201636
oct6423170147743501
91104381352542370
10230020222011201
116732303478a756
122196b562b44769
139b46a77098a1b
1440b307696818d
151b8d54933a286
hexd133c19fc741

230020222011201 has 48 divisors (see below), whose sum is σ = 334829136964608. Its totient is φ = 152159444892000.

The previous prime is 230020222011169. The next prime is 230020222011233. The reversal of 230020222011201 is 102110222020032.

230020222011201 is a `hidden beast` number, since 2 + 30 + 0 + 202 + 220 + 11 + 201 = 666.

230020222011201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230020222011169) and next prime (230020222011233).

It is not a de Polignac number, because 230020222011201 - 25 = 230020222011169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230020222011101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15226061290 + ... + 15226076396.

It is an arithmetic number, because the mean of its divisors is an integer number (6975607020096).

Almost surely, 2230020222011201 is an apocalyptic number.

It is an amenable number.

230020222011201 is a deficient number, since it is larger than the sum of its proper divisors (104808914953407).

230020222011201 is a wasteful number, since it uses less digits than its factorization.

230020222011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27162 (or 27159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 230020222011201 its reverse (102110222020032), we get a palindrome (332130444031233).

The spelling of 230020222011201 in words is "two hundred thirty trillion, twenty billion, two hundred twenty-two million, eleven thousand, two hundred one".

Divisors: 1 3 9 151 453 1031 1359 3093 9279 10867 15107 32601 45321 97803 135963 155681 467043 1401129 1640917 2281157 4922751 6843471 11203877 14768253 15575317 20530413 33611631 46725951 100834893 140177853 164167769 492503307 1477509921 1691785427 2351872867 5075356281 7055618601 15226068843 21166855803 24789333119 74367999357 169256969839 223103998071 507770909517 1523312728551 25557802445689 76673407337067 230020222011201