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1011052152 = 2333111725031
BaseRepresentation
bin111100010000110…
…110111001111000
32121110110202211000
4330100312321320
54032312132102
6244154205000
734024541625
oct7420667170
92543422730
101011052152
114797924a0
12242723760
13131609916
14983c734c
155db6601c
hex3c436e78

1011052152 has 128 divisors (see below), whose sum is σ = 3244147200. Its totient is φ = 288345600.

The previous prime is 1011052151. The next prime is 1011052153. The reversal of 1011052152 is 2512501101.

It is an interprime number because it is at equal distance from previous prime (1011052151) and next prime (1011052153).

It is a super-2 number, since 2×10110521522 = 2044452908127662208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011052151) 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, 27877 + ... + 52907.

It is an arithmetic number, because the mean of its divisors is an integer number (25344900).

Almost surely, 21011052152 is an apocalyptic number.

1011052152 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 1011052152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622073600).

1011052152 is an abundant number, since it is smaller than the sum of its proper divisors (2233095048).

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

1011052152 is a wasteful number, since it uses less digits than its factorization.

1011052152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25074 (or 25064 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1011052152 is about 31797.0462779171. The cubic root of 1011052152 is about 1003.6705611629.

Adding to 1011052152 its reverse (2512501101), we get a palindrome (3523553253).

The spelling of 1011052152 in words is "one billion, eleven million, fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 748 792 918 1122 1188 1224 1496 1683 1836 2244 2376 3366 3672 4488 5049 6732 10098 13464 20196 25031 40392 50062 75093 100124 150186 200248 225279 275341 300372 425527 450558 550682 600744 675837 826023 851054 901116 1101364 1276581 1351674 1652046 1702108 1802232 2202728 2478069 2553162 2703348 3304092 3404216 3829743 4680797 4956138 5106324 5406696 6608184 7434207 7659486 9361594 9912276 10212648 11489229 14042391 14868414 15318972 18723188 19824552 22978458 28084782 29736828 30637944 37446376 42127173 45956916 56169564 59473656 84254346 91913832 112339128 126381519 168508692 252763038 337017384 505526076 1011052152