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1051153012 = 227137189457
BaseRepresentation
bin111110101001110…
…101001001110100
32201020221002212001
4332221311021310
54123043344022
6252145505044
735022440020
oct7651651164
92636832761
101051153012
1149a3918a8
12254042184
13139a0a340
149d865380
1562437b27
hex3ea75274

1051153012 has 96 divisors (see below), whose sum is σ = 2326786560. Its totient is φ = 404490240.

The previous prime is 1051153009. The next prime is 1051153031. The reversal of 1051153012 is 2103511501.

It is a super-2 number, since 2×10511530122 = 2209845309273344288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 2299888 + ... + 2300344.

It is an arithmetic number, because the mean of its divisors is an integer number (24237360).

Almost surely, 21051153012 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 1051153012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163393280).

1051153012 is an abundant number, since it is smaller than the sum of its proper divisors (1275633548).

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

1051153012 is a wasteful number, since it uses less digits than its factorization.

1051153012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 1051153012 is about 32421.4899719307. The cubic root of 1051153012 is about 1016.7682579242.

Adding to 1051153012 its reverse (2103511501), we get a palindrome (3154664513).

The spelling of 1051153012 in words is "one billion, fifty-one million, one hundred fifty-three thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 71 89 91 142 178 182 284 356 364 457 497 623 914 923 994 1157 1246 1828 1846 1988 2314 2492 3199 3692 4628 5941 6319 6398 6461 8099 11882 12638 12796 12922 16198 23764 25276 25844 32396 32447 40673 41587 44233 64894 81346 82147 83174 88466 129788 162692 164294 166348 176932 227129 284711 328588 421811 454258 528749 569422 575029 843622 908516 1057498 1138844 1150058 1687244 2114996 2300116 2887783 2952677 3701243 5775566 5905354 7402486 11551132 11810708 14804972 20214481 37541179 40428962 75082358 80857924 150164716 262788253 525576506 1051153012