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1045201014 = 23211132391699
BaseRepresentation
bin111110010011001…
…000000001110110
32200211201201020200
4332103020001312
54120032413024
6251414141330
734621030164
oct7623100166
92624651220
101045201014
11496a96aa0
12252051846
13138705150
149cb56234
1561b5e2c9
hex3e4c8076

1045201014 has 96 divisors (see below), whose sum is σ = 2673216000. Its totient is φ = 290969280.

The previous prime is 1045201009. The next prime is 1045201037. The reversal of 1045201014 is 4101025401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614337 + ... + 616035.

It is an arithmetic number, because the mean of its divisors is an integer number (27846000).

Almost surely, 21045201014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045201014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336608000).

1045201014 is an abundant number, since it is smaller than the sum of its proper divisors (1628014986).

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

1045201014 is a wasteful number, since it uses less digits than its factorization.

1045201014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1045201014 is about 32329.5687258584. The cubic root of 1045201014 is about 1014.8455244702.

Adding to 1045201014 its reverse (4101025401), we get a palindrome (5146226415).

The spelling of 1045201014 in words is "one billion, forty-five million, two hundred one thousand, fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 239 286 429 478 717 858 1287 1434 1699 2151 2574 2629 3107 3398 4302 5097 5258 6214 7887 9321 10194 15291 15774 18642 18689 22087 23661 27963 30582 34177 37378 44174 47322 55926 56067 66261 68354 102531 112134 132522 168201 198783 205062 242957 307593 336402 397566 406061 485914 615186 728871 812122 1218183 1457742 2186613 2436366 3654549 4373226 4466671 5278793 7309098 8933342 10557586 13400013 15836379 26800026 31672758 40200039 47509137 58066723 80400078 95018274 116133446 174200169 348400338 522600507 1045201014