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110102102000 = 24531143116387
BaseRepresentation
bin110011010001010011…
…0001011111111110000
3101112012012112021222122
41212202212023333300
53300442114231000
6122325154053412
710645301265632
oct1464246137760
9345165467878
10110102102000
114276a847930
1219408b7a268
13a4c86c83a7
1454869a0a52
152ce6065085
hex19a298bff0

110102102000 has 160 divisors (see below), whose sum is σ = 297186050304. Its totient is φ = 39105696000.

The previous prime is 110102101997. The next prime is 110102102009. The reversal of 110102102000 is 201201011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110102102009) 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, 887807 + ... + 1004193.

Almost surely, 2110102102000 is an apocalyptic number.

110102102000 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 110102102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148593025152).

110102102000 is an abundant number, since it is smaller than the sum of its proper divisors (187083948304).

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

110102102000 is a wasteful number, since it uses less digits than its factorization.

110102102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116464 (or 116448 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110102102000 its reverse (201201011), we get a palindrome (110303303011).

The spelling of 110102102000 in words is "one hundred ten billion, one hundred two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 43 44 50 55 80 86 88 100 110 125 172 176 200 215 220 250 275 344 400 430 440 473 500 550 688 860 880 946 1000 1075 1100 1375 1720 1892 2000 2150 2200 2365 2750 3440 3784 4300 4400 4730 5375 5500 7568 8600 9460 10750 11000 11825 17200 18920 21500 22000 23650 37840 43000 47300 59125 86000 94600 116387 118250 189200 232774 236500 465548 473000 581935 931096 946000 1163870 1280257 1862192 2327740 2560514 2909675 4655480 5004641 5121028 5819350 6401285 9310960 10009282 10242056 11638700 12802570 14548375 20018564 20484112 23277400 25023205 25605140 29096750 32006425 40037128 46554800 50046410 51210280 55051051 58193500 64012850 80074256 100092820 102420560 110102102 116387000 125116025 128025700 160032125 200185640 220204204 232774000 250232050 256051400 275255255 320064250 400371280 440408408 500464100 512102800 550510510 625580125 640128500 880816816 1000928200 1101021020 1251160250 1280257000 1376276275 2001856400 2202042040 2502320500 2560514000 2752552550 4404084080 5004641000 5505105100 6881381375 10009282000 11010210200 13762762750 22020420400 27525525500 55051051000 110102102000