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11520213030 = 23251753142067
BaseRepresentation
bin10101011101010100…
…01000000000100110
31002201212022110100200
422232222020000212
5142043133304110
65143050051330
7555324123624
oct125652100046
932655273320
1011520213030
114981950617
122296119b46
131117938b01
147b4008514
1547659b6c0
hex2aea88026

11520213030 has 96 divisors (see below), whose sum is σ = 32313082464. Its totient is φ = 2836773888.

The previous prime is 11520213017. The next prime is 11520213077. The reversal of 11520213030 is 3031202511.

11520213030 is a `hidden beast` number, since 11 + 520 + 2 + 130 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11520212994 and 11520213012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10057 + ... + 152123.

It is an arithmetic number, because the mean of its divisors is an integer number (336594609).

Almost surely, 211520213030 is an apocalyptic number.

11520213030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11520213030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156541232).

11520213030 is an abundant number, since it is smaller than the sum of its proper divisors (20792869434).

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

11520213030 is a wasteful number, since it uses less digits than its factorization.

11520213030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142150 (or 142147 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 11520213030 its reverse (3031202511), we get a palindrome (14551415541).

The spelling of 11520213030 in words is "eleven billion, five hundred twenty million, two hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 53 85 90 102 106 153 159 170 255 265 306 318 477 510 530 765 795 901 954 1530 1590 1802 2385 2703 4505 4770 5406 8109 9010 13515 16218 27030 40545 81090 142067 284134 426201 710335 852402 1278603 1420670 2131005 2415139 2557206 4262010 4830278 6393015 7245417 7529551 12075695 12786030 14490834 15059102 21736251 22588653 24151390 36227085 37647755 43472502 45177306 67765959 72454170 75295510 108681255 112943265 128002367 135531918 217362510 225886530 256004734 338829795 384007101 640011835 677659590 768014202 1152021303 1280023670 1920035505 2304042606 3840071010 5760106515 11520213030