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100230011120 = 2452955777563
BaseRepresentation
bin101110101011000101…
…1001001100011110000
3100120201012110010012002
41131112023021203300
53120232340323440
6114013420553132
710145536015601
oct1352613114360
9316635403162
10100230011120
1139564256938
12175129b27a8
1395b4373ab5
144bcb815da8
152919521115
hex17562c98f0

100230011120 has 80 divisors (see below), whose sum is σ = 241506372960. Its totient is φ = 38639526912.

The previous prime is 100230011107. The next prime is 100230011143. The reversal of 100230011120 is 21110032001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1253459 + ... + 1331021.

It is an arithmetic number, because the mean of its divisors is an integer number (3018829662).

Almost surely, 2100230011120 is an apocalyptic number.

100230011120 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 100230011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120753186480).

100230011120 is an abundant number, since it is smaller than the sum of its proper divisors (141276361840).

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

100230011120 is a wasteful number, since it uses less digits than its factorization.

100230011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78162 (or 78156 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100230011120 its reverse (21110032001), we get a palindrome (121340043121).

The spelling of 100230011120 in words is "one hundred billion, two hundred thirty million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 557 580 1114 1160 2228 2320 2785 4456 5570 8912 11140 16153 22280 32306 44560 64612 77563 80765 129224 155126 161530 258448 310252 323060 387815 620504 646120 775630 1241008 1292240 1551260 2249327 3102520 4498654 6205040 8997308 11246635 17994616 22493270 35989232 43202591 44986540 86405182 89973080 172810364 179946160 216012955 345620728 432025910 691241456 864051820 1252875139 1728103640 2505750278 3456207280 5011500556 6264375695 10023001112 12528751390 20046002224 25057502780 50115005560 100230011120