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1101020201112 = 2331316722793089
BaseRepresentation
bin10000000001011001111…
…010110000000010011000
310220020220222202100120010
4100001121322300002120
5121014342132413422
62201445100001520
7142355210202546
oct20013172600230
93806828670503
101101020201112
11394a38222207
121594755302a0
137ca97269280
143b40ab92d96
151d990322b0c
hex10059eb0098

1101020201112 has 128 divisors (see below), whose sum is σ = 2995204262400. Its totient is φ = 335259783168.

The previous prime is 1101020201101. The next prime is 1101020201123. The reversal of 1101020201112 is 2111020201011.

It is an interprime number because it is at equal distance from previous prime (1101020201101) and next prime (1101020201123).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11781064 + ... + 11874152.

It is an arithmetic number, because the mean of its divisors is an integer number (23400033300).

Almost surely, 21101020201112 is an apocalyptic number.

1101020201112 is a gapful number since it is divisible by the number (12) 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 1101020201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497602131200).

1101020201112 is an abundant number, since it is smaller than the sum of its proper divisors (1894184061288).

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

1101020201112 is a wasteful number, since it uses less digits than its factorization.

1101020201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93505 (or 93501 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1101020201112 its reverse (2111020201011), we get a palindrome (3212040402123).

The spelling of 1101020201112 in words is "one trillion, one hundred one billion, twenty million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 167 227 312 334 454 501 668 681 908 1002 1336 1362 1816 2004 2171 2724 2951 4008 4342 5448 5902 6513 8684 8853 11804 13026 17368 17706 23608 26052 35412 37909 52104 70824 75818 93089 113727 151636 186178 227454 279267 303272 372356 454908 492817 558534 744712 909816 985634 1117068 1210157 1478451 1971268 2234136 2420314 2956902 3630471 3942536 4840628 5913804 7260942 9681256 11827608 14521884 15545863 21131203 29043768 31091726 42262406 46637589 62183452 63393609 84524812 93275178 124366904 126787218 169049624 186550356 202096219 253574436 274705639 373100712 404192438 507148872 549411278 606288657 808384876 824116917 1098822556 1212577314 1616769752 1648233834 2197645112 2425154628 3296467668 3528910901 4850309256 6592935336 7057821802 10586732703 14115643604 21173465406 28231287208 42346930812 45875841713 84693861624 91751683426 137627525139 183503366852 275255050278 367006733704 550510100556 1101020201112