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45013100 = 225211151271
BaseRepresentation
bin1010101110110…
…1100001101100
310010200220100212
42223231201230
543010404400
64244441552
71054414346
oct253554154
9103626325
1045013100
1123455010
12130a92b8
139430592
145d9a296
153e42335
hex2aed86c

45013100 has 72 divisors (see below), whose sum is σ = 107659776. Its totient is φ = 16200000.

The previous prime is 45013099. The next prime is 45013103. The reversal of 45013100 is 131054.

It is a super-2 number, since 2×450131002 = 4052358343220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45013103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165965 + ... + 166235.

Almost surely, 245013100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53829888).

45013100 is an abundant number, since it is smaller than the sum of its proper divisors (62646676).

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

45013100 is a wasteful number, since it uses less digits than its factorization.

45013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 45013100 is about 6709.1802777985. The cubic root of 45013100 is about 355.7238421390.

Adding to 45013100 its reverse (131054), we get a palindrome (45144154).

The spelling of 45013100 in words is "forty-five million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 151 220 271 275 302 542 550 604 755 1084 1100 1355 1510 1661 2710 2981 3020 3322 3775 5420 5962 6644 6775 7550 8305 11924 13550 14905 15100 16610 27100 29810 33220 40921 41525 59620 74525 81842 83050 149050 163684 166100 204605 298100 409210 450131 818420 900262 1023025 1800524 2046050 2250655 4092100 4501310 9002620 11253275 22506550 45013100