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1100113223000 = 235311611639513
BaseRepresentation
bin10000000000100011110…
…110111001110101011000
310220011120210010002111012
4100000203312321311120
5121011012441114000
62201215100153052
7142323555051521
oct20004366716530
93804523102435
101100113223000
11394612264120
12159261838788
137c98139b62c
143b36253b848
151d93a8b8735
hex10023db9d58

1100113223000 has 128 divisors (see below), whose sum is σ = 2854328293440. Its totient is φ = 393482880000.

The previous prime is 1100113222997. The next prime is 1100113223003. The reversal of 1100113223000 is 3223110011.

It is an interprime number because it is at equal distance from previous prime (1100113222997) and next prime (1100113223003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100113223003) 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, 148757 + ... + 1490756.

Almost surely, 21100113223000 is an apocalyptic number.

1100113223000 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 1100113223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427164146720).

1100113223000 is an abundant number, since it is smaller than the sum of its proper divisors (1754215070440).

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

1100113223000 is a wasteful number, since it uses less digits than its factorization.

1100113223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639606 (or 1639592 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1100113223000 its reverse (3223110011), we get a palindrome (1103336333011).

The spelling of 1100113223000 in words is "one trillion, one hundred billion, one hundred thirteen million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 125 200 220 244 250 275 305 440 488 500 550 610 671 1000 1100 1220 1342 1375 1525 2200 2440 2684 2750 3050 3355 5368 5500 6100 6710 7625 11000 12200 13420 15250 16775 26840 30500 33550 61000 67100 83875 134200 167750 335500 671000 1639513 3279026 6558052 8197565 13116104 16395130 18034643 32790260 36069286 40987825 65580520 72138572 81975650 90173215 100010293 144277144 163951300 180346430 200020586 204939125 327902600 360692860 400041172 409878250 450866075 500051465 721385720 800082344 819756500 901732150 1000102930 1100113223 1639513000 1803464300 2000205860 2200226446 2254330375 2500257325 3606928600 4000411720 4400452892 4508660750 5000514650 5500566115 8800905784 9017321500 10001029300 11001132230 12501286625 18034643000 20002058600 22002264460 25002573250 27502830575 44004528920 50005146500 55005661150 100010293000 110011322300 137514152875 220022644600 275028305750 550056611500 1100113223000