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23010301333012 = 22721723967310501
BaseRepresentation
bin1010011101101100000001…
…10101100100111000010100
310000110202121110111201102011
411032312000311210320110
511004000044120124022
6120534441514554004
74563303501121600
oct516660065447024
9100422543451364
1023010301333012
117371683252774
1226b7673438904
13cabb29077856
145979c1316500
1529d83db5b977
hex14ed80d64e14

23010301333012 has 144 divisors (see below), whose sum is σ = 51807949256448. Its totient is φ = 8868714624000.

The previous prime is 23010301332947. The next prime is 23010301333013. The reversal of 23010301333012 is 21033310301032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23010301333013) 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, 73951762 + ... + 74262262.

It is an arithmetic number, because the mean of its divisors is an integer number (359777425392).

Almost surely, 223010301333012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23010301333012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25903974628224).

23010301333012 is an abundant number, since it is smaller than the sum of its proper divisors (28797647923436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23010301333012 is a wasteful number, since it uses less digits than its factorization.

23010301333012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311526 (or 311517 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 23010301333012 its reverse (21033310301032), we get a palindrome (44043611634044).

The spelling of 23010301333012 in words is "twenty-three trillion, ten billion, three hundred one million, three hundred thirty-three thousand, twelve".

Divisors: 1 2 4 7 14 17 23 28 34 46 49 68 92 98 119 161 196 238 322 391 476 644 782 833 967 1127 1564 1666 1934 2254 2737 3332 3868 4508 5474 6769 10948 13538 16439 19159 22241 27076 32878 38318 44482 47383 65756 76636 88964 94766 115073 155687 189532 230146 310501 311374 378097 460292 621002 622748 756194 805511 1089809 1242004 1512388 1611022 2173507 2179618 2646679 3222044 4347014 4359236 5278517 5293358 7141523 8694028 10557034 10586716 14283046 15214549 18526753 21114068 28566092 30429098 36949619 37053506 49990661 60858196 73899238 74107012 99981322 121405891 147798476 199962644 242811782 258647333 300254467 349934627 485623564 517294666 600508934 699869254 849841237 1034589332 1201017868 1399738508 1699682474 2101781269 3399364948 4203562538 5104325939 5948888659 6905852741 8407125076 10208651878 11897777318 13811705482 14712468883 20417303756 23795554636 27623410964 29424937766 35730281573 48340969187 58849875532 71460563146 96681938374 117399496597 142921126292 193363876748 234798993194 250111971011 338386784309 469597986388 500223942022 676773568618 821796476179 1000447884044 1353547137236 1643592952358 3287185904716 5752575333253 11505150666506 23010301333012