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114253553210013 = 32729149443947417
BaseRepresentation
bin11001111110100110111010…
…011101000001001010011101
3112222112112101120100002222100
4121332212322131001022131
5104433412234110210023
61042555205135035313
733031355362326420
oct3176467235011235
9488475346302870
10114253553210013
113344a729226308
121099312b96bb39
134b9a0aa3358b9
14202dc899419b7
15d31ee5404c43
hex67e9ba74129d

114253553210013 has 96 divisors (see below), whose sum is σ = 196865881056000. Its totient is φ = 62471974376448.

The previous prime is 114253553209987. The next prime is 114253553210039. The reversal of 114253553210013 is 310012355352411.

It is a happy number.

114253553210013 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 5 + 3 + 5 + 532 + 100 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (114253553209987) and next prime (114253553210039).

It is not a de Polignac number, because 114253553210013 - 26 = 114253553209949 is a prime.

It is a super-2 number, since 2×1142535532100132 (a number of 29 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 114253553210013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114253553210813) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120121081 + ... + 121068497.

It is an arithmetic number, because the mean of its divisors is an integer number (2050686261000).

Almost surely, 2114253553210013 is an apocalyptic number.

It is an amenable number.

114253553210013 is a deficient number, since it is larger than the sum of its proper divisors (82612327845987).

114253553210013 is a wasteful number, since it uses less digits than its factorization.

114253553210013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948051 (or 948048 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 114253553210013 in words is "one hundred fourteen trillion, two hundred fifty-three billion, five hundred fifty-three million, two hundred ten thousand, thirteen".

Divisors: 1 3 7 9 21 29 63 87 149 203 261 443 447 609 1043 1329 1341 1827 3101 3129 3987 4321 9303 9387 12847 12963 27909 30247 38541 38889 66007 89929 90741 115623 198021 269787 272223 462049 594063 809361 947417 1386147 1914203 2842251 4158441 5742609 6631919 8526753 13399421 17227827 19895757 27475093 40198263 59687271 82425279 120594789 141165133 192325651 247275837 419705731 423495399 576976953 988155931 1259117193 1270486197 1730930859 2937940117 2964467793 3777351579 4093788857 8813820351 8893403379 12171466199 12281366571 26441461053 28656521999 36514398597 36844099713 62536153919 85200263393 85969565997 109543195791 187608461757 255600790179 257908697991 437753077433 562825385271 766802370537 1313259232299 1813548463651 3939777696897 5440645390953 12694839245557 16321936172859 38084517736671 114253553210013