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114011503512100 = 22527653891489589
BaseRepresentation
bin11001111011000101011111…
…001010101100101000100100
3112221200101121201010110000221
4121323011133022230220210
5104420431024344341400
61042252054530014124
733005026225001065
oct3173053712545044
9487611551113027
10114011503512100
1133367009505757
1210954239a17344
134b8031440908c
142022286d7c56c
15d2aa7a56ac1a
hex67b15f2aca24

114011503512100 has 36 divisors (see below), whose sum is σ = 247405451951700. Its totient is φ = 45604511205760.

The previous prime is 114011503512083. The next prime is 114011503512107. The reversal of 114011503512100 is 1215305110411.

It can be written as a sum of positive squares in 6 ways, for example, as 21372110508004 + 92639393004096 = 4622998^2 + 9624936^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (114011503512107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75794106 + ... + 77283694.

It is an arithmetic number, because the mean of its divisors is an integer number (6872373665325).

Almost surely, 2114011503512100 is an apocalyptic number.

114011503512100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114011503512100 is an abundant number, since it is smaller than the sum of its proper divisors (133393948439600).

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

114011503512100 is a wasteful number, since it uses less digits than its factorization.

114011503512100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254992 (or 2254985 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 25.

Adding to 114011503512100 its reverse (1215305110411), we get a palindrome (115226808622511).

The spelling of 114011503512100 in words is "one hundred fourteen trillion, eleven billion, five hundred three million, five hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 765389 1489589 1530778 2979178 3061556 3826945 5958356 7447945 7653890 14895890 15307780 19134725 29791780 37239725 38269450 74479450 76538900 148958900 1140115035121 2280230070242 4560460140484 5700575175605 11401150351210 22802300702420 28502875878025 57005751756050 114011503512100