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23020120013331 = 3732943111716061
BaseRepresentation
bin1010011101111110010100…
…00100110111101000010011
310000111200221202002100200210
411032333022010313220103
511004130201210411311
6120543144103215203
74564102014411000
oct516771204675023
9100450852070623
1023020120013331
117375861683601
1226b9553747503
13caca3231b56c
1459827335a8a7
1529dc15b503a6
hex14efca137a13

23020120013331 has 128 divisors (see below), whose sum is σ = 37925851392000. Its totient is φ = 12393511764480.

The previous prime is 23020120013257. The next prime is 23020120013333. The reversal of 23020120013331 is 13331002102032.

It is not a de Polignac number, because 23020120013331 - 225 = 23020086458899 is a prime.

It is a super-2 number, since 2×230201200133312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 23020120013298 and 23020120013307.

It is not an unprimeable number, because it can be changed into a prime (23020120013333) 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, 1433285041 + ... + 1433301101.

It is an arithmetic number, because the mean of its divisors is an integer number (296295714000).

Almost surely, 223020120013331 is an apocalyptic number.

23020120013331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23020120013331 is a deficient number, since it is larger than the sum of its proper divisors (14905731378669).

23020120013331 is a wasteful number, since it uses less digits than its factorization.

23020120013331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17274 (or 17260 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23020120013331 its reverse (13331002102032), we get a palindrome (36351122115363).

The spelling of 23020120013331 in words is "twenty-three trillion, twenty billion, one hundred twenty million, thirteen thousand, three hundred thirty-one".

Divisors: 1 3 7 21 29 43 49 87 129 147 203 301 343 609 903 1029 1117 1247 1421 2107 3351 3741 4263 6321 7819 8729 9947 14749 16061 23457 26187 29841 32393 44247 48031 48183 54733 61103 97179 112427 144093 164199 183309 226751 336217 337281 383131 427721 465769 680253 690623 786989 1008651 1149393 1283163 1392899 1397307 1587257 2071869 2353519 2360967 3260383 4178697 4761771 4834361 5508923 7060557 9750293 9781149 11110799 14503083 16474633 16526769 17940137 20028067 22822681 29250879 33332397 33840527 49423899 53820411 60084201 68252051 68468043 101521581 125580959 140196469 159758767 204756153 236883689 376742877 420589407 477764357 479276301 520263973 710651067 771425891 879066713 981375283 1433293071 1560791919 2314277673 2637200139 2944125849 3641847811 5399981237 6153466991 6869626981 10925543433 16199943711 18460400973 20608880943 22371350839 25492934677 37799868659 67114052517 76478804031 113399605977 156599455873 178450542739 264599080613 469798367619 535351628217 793797241839 1096196191111 3288588573333 7673373337777 23020120013331