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1051413324 = 2231361313353
BaseRepresentation
bin111110101010110…
…100101101001100
32201021102022221020
4332222310231030
54123130211244
6252155234140
735024602653
oct7652645514
92637368836
101051413324
1149a54a435
12254148950
13139a9b980
149d8d219a
1562489d19
hex3eab4b4c

1051413324 has 96 divisors (see below), whose sum is σ = 2701535424. Its totient is φ = 316293120.

The previous prime is 1051413323. The next prime is 1051413343. The reversal of 1051413324 is 4233141501.

It is a happy number.

It is a super-2 number, since 2×10514133242 = 2210939955769457952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1051413294 and 1051413303.

It is not an unprimeable number, because it can be changed into a prime (1051413323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2978332 + ... + 2978684.

It is an arithmetic number, because the mean of its divisors is an integer number (28140994).

Almost surely, 21051413324 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 1051413324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350767712).

1051413324 is an abundant number, since it is smaller than the sum of its proper divisors (1650122100).

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

1051413324 is a wasteful number, since it uses less digits than its factorization.

1051413324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1051413324 is about 32425.5042212145. The cubic root of 1051413324 is about 1016.8521832678.

Adding to 1051413324 its reverse (4233141501), we get a palindrome (5284554825).

The spelling of 1051413324 in words is "one billion, fifty-one million, four hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 313 353 366 626 706 732 793 939 1059 1252 1412 1586 1878 2118 2379 3172 3756 4069 4236 4589 4758 8138 9178 9516 12207 13767 16276 18356 19093 21533 24414 27534 38186 43066 48828 55068 57279 64599 76372 86132 110489 114558 129198 220978 229116 248209 258396 279929 331467 441956 496418 559858 662934 744627 839787 992836 1119716 1325868 1436357 1489254 1679574 2872714 2978508 3359148 4309071 5745428 6739829 8618142 13479658 17236284 20219487 26959316 40438974 80877948 87617777 175235554 262853331 350471108 525706662 1051413324