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114311525103501 = 311193771233929671
BaseRepresentation
bin11001111111011100111001…
…110110001111011110001101
3112222202002000201200102121120
4121333130321312033132031
5104440340000411303001
61043041553433551153
733035510104311225
oct3177347166173615
9488662021612546
10114311525103501
1133472277909990
12109a240a5754b9
134ba26b885755b
1420329c8d01085
15d33789a92236
hex67f739d8f78d

114311525103501 has 128 divisors (see below), whose sum is σ = 182368574668800. Its totient is φ = 62931066912000.

The previous prime is 114311525103499. The next prime is 114311525103761. The reversal of 114311525103501 is 105301525113411.

It is not a de Polignac number, because 114311525103501 - 21 = 114311525103499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114311525103001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3852619896 + ... + 3852649566.

It is an arithmetic number, because the mean of its divisors is an integer number (1424754489600).

Almost surely, 2114311525103501 is an apocalyptic number.

114311525103501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114311525103501 is a deficient number, since it is larger than the sum of its proper divisors (68057049565299).

114311525103501 is a wasteful number, since it uses less digits than its factorization.

114311525103501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32151.

The product of its (nonzero) digits is 9000, while the sum is 33.

The spelling of 114311525103501 in words is "one hundred fourteen trillion, three hundred eleven billion, five hundred twenty-five million, one hundred three thousand, five hundred one".

Divisors: 1 3 11 19 33 37 57 71 111 209 213 407 627 703 781 1221 1349 2109 2339 2343 2627 4047 7017 7733 7881 14839 23199 25729 28897 29671 44441 44517 49913 77187 86543 86691 89013 133323 149739 166069 259629 326381 488851 498207 549043 563749 951973 979143 1097827 1466553 1644317 1647129 1691247 1826759 2106641 2855919 3155311 3293481 4932951 5480277 6144553 6201239 6319923 9465933 12076097 18087487 18433659 18603717 20858713 23173051 34708421 36228291 40026179 54262461 62576139 67590083 69400469 69519153 77945717 104125263 116746507 120078537 202770249 208201407 229445843 233837151 350239521 440287969 688337529 763405159 857402887 1284211577 1318608911 1320863907 1480968623 2290215477 2567817353 2572208661 3852634731 3955826733 4442905869 4927433299 7703452059 14504698021 14782299897 16290654853 28245990883 43514094063 48788529707 48871964559 54201766289 84737972649 93621232681 146365589121 162605298867 182315032063 280863698043 536673826777 546945096189 1029833559491 1610021480331 2005465352693 3089500678473 3463985609197 6016396058079 10391956827591 38103841701167 114311525103501