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1130121532120 = 235737346323371
BaseRepresentation
bin10000011100100000011…
…111100001001011011000
311000001001010001010211111
4100130200133201023120
5122003442103011440
62223100510310104
7144435315345310
oct20344037411330
94001033033744
101130121532120
113a6311162999
121630374b8334
13827543b2769
143c9abb0a440
151e5e50d44ea
hex107207e12d8

1130121532120 has 128 divisors (see below), whose sum is σ = 2920236042240. Its totient is φ = 385580321280.

The previous prime is 1130121532117. The next prime is 1130121532121. The reversal of 1130121532120 is 212351210311.

It is a super-2 number, since 2×11301215321202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130121532091 and 1130121532100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130121532121) 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, 48344035 + ... + 48367405.

It is an arithmetic number, because the mean of its divisors is an integer number (22814344080).

Almost surely, 21130121532120 is an apocalyptic number.

1130121532120 is a gapful number since it is divisible by the number (10) 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 1130121532120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460118021120).

1130121532120 is an abundant number, since it is smaller than the sum of its proper divisors (1790114510120).

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

1130121532120 is a wasteful number, since it uses less digits than its factorization.

1130121532120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24225 (or 24221 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 1130121532120 its reverse (212351210311), we get a palindrome (1342472742431).

The spelling of 1130121532120 in words is "one trillion, one hundred thirty billion, one hundred twenty-one million, five hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 373 463 746 926 1492 1852 1865 2315 2611 2984 3241 3704 3730 4630 5222 6482 7460 9260 10444 12964 13055 14920 16205 18520 20888 23371 25928 26110 32410 46742 52220 64820 93484 104440 116855 129640 163597 172699 186968 233710 327194 345398 467420 654388 690796 817985 863495 934840 1208893 1308776 1381592 1635970 1726990 2417786 3271940 3453980 4835572 6044465 6543880 6907960 8717383 9671144 10820773 12088930 17434766 21641546 24177860 34869532 43283092 43586915 48355720 54103865 61021681 69739064 75745411 86566184 87173830 108207730 122043362 151490822 174347660 216415460 244086724 302981644 305108405 348695320 378727055 432830920 488173448 605963288 610216810 757454110 1220433620 1514908220 2440867240 3029816440 4036148329 8072296658 16144593316 20180741645 28253038303 32289186632 40361483290 56506076606 80722966580 113012153212 141265191515 161445933160 226024306424 282530383030 565060766060 1130121532120