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114233302100 = 225241271102811
BaseRepresentation
bin110101001100011010…
…1011101110001010100
3101220212010010000010202
41222120311131301110
53332422211131400
6124251132040032
711152544022041
oct1523065356124
9356763100122
10114233302100
114449a7a2695
121a180603018
13aa065658a8
1457595081c8
152e88aa44d5
hex1a98d5dc54

114233302100 has 72 divisors (see below), whose sum is σ = 254871770496. Its totient is φ = 44413920000.

The previous prime is 114233302069. The next prime is 114233302111. The reversal of 114233302100 is 1203332411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059695 + ... + 1162505.

Almost surely, 2114233302100 is an apocalyptic number.

114233302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114233302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127435885248).

114233302100 is an abundant number, since it is smaller than the sum of its proper divisors (140638468396).

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

114233302100 is a wasteful number, since it uses less digits than its factorization.

114233302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103137 (or 103130 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 114233302100 its reverse (1203332411), we get a palindrome (115436634511).

The spelling of 114233302100 in words is "one hundred fourteen billion, two hundred thirty-three million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 271 410 542 820 1025 1084 1355 2050 2710 4100 5420 6775 11111 13550 22222 27100 44444 55555 102811 111110 205622 222220 277775 411244 514055 555550 1028110 1111100 2056220 2570275 4215251 5140550 8430502 10281100 16861004 21076255 27861781 42152510 55723562 84305020 105381275 111447124 139308905 210762550 278617810 421525100 557235620 696544525 1142333021 1393089050 2284666042 2786178100 4569332084 5711665105 11423330210 22846660420 28558325525 57116651050 114233302100