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1130121113000 = 235311158364901
BaseRepresentation
bin10000011100100000011…
…101111010110110101000
311000001001002020211220112
4100130200131322312220
5122003442001104000
62223100453313452
7144435311651345
oct20344035726650
94001032224815
101130121113000
113a63109a7010
12163037335888
1382754296a69
143c9aba3b7cc
151e5e5050235
hex1072077ada8

1130121113000 has 128 divisors (see below), whose sum is σ = 2886757885440. Its totient is φ = 410687200000.

The previous prime is 1130121112997. The next prime is 1130121113021. The reversal of 1130121113000 is 3111210311.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17380550 + ... + 17445450.

It is an arithmetic number, because the mean of its divisors is an integer number (22552795980).

Almost surely, 21130121113000 is an apocalyptic number.

1130121113000 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 1130121113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443378942720).

1130121113000 is an abundant number, since it is smaller than the sum of its proper divisors (1756636772440).

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

1130121113000 is a wasteful number, since it uses less digits than its factorization.

1130121113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66516 (or 66502 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1130121113000 its reverse (3111210311), we get a palindrome (1133232323311).

The spelling of 1130121113000 in words is "one trillion, one hundred thirty billion, one hundred twenty-one million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 1583 2200 2750 3166 5500 6332 7915 11000 12664 15830 17413 31660 34826 39575 63320 64901 69652 79150 87065 129802 139304 158300 174130 197875 259604 316600 324505 348260 395750 435325 519208 649010 696520 713911 791500 870650 1298020 1427822 1583000 1622525 1741300 2176625 2596040 2855644 3245050 3482600 3569555 4353250 5711288 6490100 7139110 8112625 8706500 12980200 14278220 16225250 17413000 17847775 28556440 32450500 35695550 64901000 71391100 89238875 102738283 142782200 178477750 205476566 356955500 410953132 513691415 713911000 821906264 1027382830 1130121113 2054765660 2260242226 2568457075 4109531320 4520484452 5136914150 5650605565 9040968904 10273828300 11301211130 12842285375 20547656600 22602422260 25684570750 28253027825 45204844520 51369141500 56506055650 102738283000 113012111300 141265139125 226024222600 282530278250 565060556500 1130121113000