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230333101131120 = 24351373824711901
BaseRepresentation
bin110100010111110010011010…
…101011000100010101110000
31010012112121222211212112022220
4310113302122223010111300
5220142234142342143440
62133513322122001040
766342005652634011
oct6427623253042560
91105477884775286
10230333101131120
11674337a08a9409
1221a00121646180
139b6a41a224940
1440c427836b008
151b9675c51e8d0
hexd17c9aac4570

230333101131120 has 80 divisors (see below), whose sum is σ = 768958199171232. Its totient is φ = 56697378739200.

The previous prime is 230333101131071. The next prime is 230333101131121. The reversal of 230333101131120 is 21131101333032.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230333101131121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36912352831 + ... + 36912359070.

Almost surely, 2230333101131120 is an apocalyptic number.

230333101131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230333101131120 is an abundant number, since it is smaller than the sum of its proper divisors (538625098040112).

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

230333101131120 is a wasteful number, since it uses less digits than its factorization.

230333101131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73824711930 (or 73824711924 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 230333101131120 its reverse (21131101333032), we get a palindrome (251464202464152).

The spelling of 230333101131120 in words is "two hundred thirty trillion, three hundred thirty-three billion, one hundred one million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 73824711901 147649423802 221474135703 295298847604 369123559505 442948271406 590597695208 738247119010 885896542812 959721254713 1107370678515 1181195390416 1476494238020 1771793085624 1919442509426 2214741357030 2879163764139 2952988476040 3543586171248 3838885018852 4429482714060 4798606273565 5758327528278 5905976952080 7677770037704 8858965428120 9597212547130 11516655056556 14395818820695 15355540075408 17717930856240 19194425094260 23033310113112 28791637641390 38388850188520 46066620226224 57583275282780 76777700377040 115166550565560 230333101131120