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1213013032 = 237211377603
BaseRepresentation
bin100100001001101…
…0001110000101000
310010112111110001121
41020103101300220
54441012404112
6320211025024
742026304100
oct11023216050
93115443047
101213013032
11572794710
1229a29b174
131643cc5ba
14b715a200
157175b407
hex484d1c28

1213013032 has 96 divisors (see below), whose sum is σ = 2964647520. Its totient is φ = 459768960.

The previous prime is 1213012979. The next prime is 1213013059. The reversal of 1213013032 is 2303103121.

It is a junction number, because it is equal to n+sod(n) for n = 1213012997 and 1213013015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155743 + ... + 163345.

It is an arithmetic number, because the mean of its divisors is an integer number (30881745).

Almost surely, 21213013032 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 1213013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482323760).

1213013032 is an abundant number, since it is smaller than the sum of its proper divisors (1751634488).

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

1213013032 is a wasteful number, since it uses less digits than its factorization.

1213013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7671 (or 7660 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1213013032 is about 34828.3366240767. The cubic root of 1213013032 is about 1066.4859922285.

Adding to 1213013032 its reverse (2303103121), we get a palindrome (3516116153).

The spelling of 1213013032 in words is "one billion, two hundred thirteen million, thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 49 56 74 77 88 98 148 154 196 259 296 308 392 407 518 539 616 814 1036 1078 1628 1813 2072 2156 2849 3256 3626 4312 5698 7252 7603 11396 14504 15206 19943 22792 30412 39886 53221 60824 79772 83633 106442 159544 167266 212884 281311 334532 372547 425768 562622 585431 669064 745094 1125244 1170862 1490188 1969177 2250488 2341724 2980376 3094421 3938354 4098017 4683448 6188842 7876708 8196034 12377684 13784239 15753416 16392068 21660947 24755368 27568478 32784136 43321894 55136956 86643788 110273912 151626629 173287576 303253258 606506516 1213013032