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23141122114132 = 221121011513135023
BaseRepresentation
bin1010100001011111101100…
…10111010000001001010100
310000221021021120212222001201
411100233312113100021110
511013121004230123012
6121114515034202244
74605614402324041
oct520576627201124
9100837246788051
1023141122114132
117412105166900
122718aa2b83384
13cbb276cca089
145a00717da1c8
152a1e48a9e857
hex150bf65d0254

23141122114132 has 72 divisors (see below), whose sum is σ = 45251638661376. Its totient is φ = 10345572600000.

The previous prime is 23141122114069. The next prime is 23141122114189.

23141122114132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×231411221141322 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23141122114132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5813973 + ... + 8948995.

It is an arithmetic number, because the mean of its divisors is an integer number (628494981408).

Almost surely, 223141122114132 is an apocalyptic number.

23141122114132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23141122114132 is a deficient number, since it is larger than the sum of its proper divisors (22110516547244).

23141122114132 is a wasteful number, since it uses less digits than its factorization.

23141122114132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135301 (or 3135288 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 2314112 and 2114132, that added together give a palindrome (4428244).

The spelling of 23141122114132 in words is "twenty-three trillion, one hundred forty-one billion, one hundred twenty-two million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 44 101 121 151 202 242 302 404 484 604 1111 1661 2222 3322 4444 6644 12221 15251 18271 24442 30502 36542 48884 61004 73084 167761 335522 671044 1845371 3135023 3690742 6270046 7381484 12540092 34485253 68970506 137941012 316637323 379337783 473388473 633274646 758675566 946776946 1266549292 1517351132 1893553892 3483010553 5207273203 6966021106 10414546406 13932042212 20829092812 38313116083 47812235773 57280005233 76626232166 95624471546 114560010466 153252464332 191248943092 229120020932 525934593503 1051869187006 2103738374012 5785280528533 11570561057066 23141122114132