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1053315312 = 2437191391187
BaseRepresentation
bin111110110010000…
…101000011110000
32201101222221222020
4332302011003300
54124122042222
6252304111440
735050014060
oct7662050360
92641887866
101053315312
114a0629425
12254905580
1313a2b65ca
149dc693a0
156271365c
hex3ec850f0

1053315312 has 160 divisors (see below), whose sum is σ = 3299788800. Its totient is φ = 282818304.

The previous prime is 1053315311. The next prime is 1053315313. The reversal of 1053315312 is 2135133501.

It is an interprime number because it is at equal distance from previous prime (1053315311) and next prime (1053315313).

It is a super-2 number, since 2×10533153122 = 2218946292987314688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053315311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 886783 + ... + 887969.

It is an arithmetic number, because the mean of its divisors is an integer number (20623680).

Almost surely, 21053315312 is an apocalyptic number.

1053315312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053315312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649894400).

1053315312 is an abundant number, since it is smaller than the sum of its proper divisors (2246473488).

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

1053315312 is a wasteful number, since it uses less digits than its factorization.

1053315312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 1053315312 is about 32454.8195496447. The cubic root of 1053315312 is about 1017.4649697466.

Adding to 1053315312 its reverse (2135133501), we get a palindrome (3188448813).

The spelling of 1053315312 in words is "one billion, fifty-three million, three hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 139 152 168 228 266 278 304 336 399 417 456 532 556 798 834 912 973 1064 1112 1187 1596 1668 1946 2128 2224 2374 2641 2919 3192 3336 3561 3892 4748 5282 5838 6384 6672 7122 7784 7923 8309 9496 10564 11676 14244 15568 15846 16618 18487 18992 21128 22553 23352 24927 28488 31692 33236 36974 42256 45106 46704 49854 55461 56976 63384 66472 67659 73948 90212 99708 110922 126768 132944 135318 147896 157871 164993 180424 199416 221844 270636 295792 315742 329986 360848 398832 443688 473613 494979 541272 631484 659972 887376 947226 989958 1082544 1154951 1262968 1319944 1894452 1979916 2309902 2525936 2639888 3134867 3464853 3788904 3959832 4619804 6269734 6929706 7577808 7919664 9239608 9404601 12539468 13859412 18479216 18809202 21944069 25078936 27718824 37618404 43888138 50157872 55437648 65832207 75236808 87776276 131664414 150473616 175552552 263328828 351105104 526657656 1053315312