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231321100120 = 235113377392111
BaseRepresentation
bin1101011101101111001…
…1111101111101011000
3211010002011110102112121
43113123303331331120
512242221200200440
6254133433551024
722466231623465
oct3273363757530
9733064412477
10231321100120
118a114804310
12389b8b75474
1318a762c9306
14b2a5b8066c
15603d05a34a
hex35dbcfdf58

231321100120 has 128 divisors (see below), whose sum is σ = 570513715200. Its totient is φ = 83713996800.

The previous prime is 231321100063. The next prime is 231321100121. The reversal of 231321100120 is 21001123132.

It is a junction number, because it is equal to n+sod(n) for n = 231321100094 and 231321100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231321100121) 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, 109577865 + ... + 109579975.

It is an arithmetic number, because the mean of its divisors is an integer number (4457138400).

Almost surely, 2231321100120 is an apocalyptic number.

231321100120 is a gapful number since it is divisible by the number (20) 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 231321100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285256857600).

231321100120 is an abundant number, since it is smaller than the sum of its proper divisors (339192615080).

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

231321100120 is a wasteful number, since it uses less digits than its factorization.

231321100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 231321100120 its reverse (21001123132), we get a palindrome (252322223252).

The spelling of 231321100120 in words is "two hundred thirty-one billion, three hundred twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 337 440 674 739 1348 1478 1685 2111 2696 2956 3370 3695 3707 4222 5912 6740 7390 7414 8129 8444 10555 13480 14780 14828 16258 16888 18535 21110 23221 29560 29656 32516 37070 40645 42220 46442 65032 74140 81290 84440 92884 116105 148280 162580 185768 232210 249043 325160 464420 498086 711407 928840 996172 1245215 1422814 1560029 1992344 2490430 2739473 2845628 3120058 3557035 4980860 5478946 5691256 6240116 7114070 7800145 7825477 9961720 10957892 12480232 13697365 14228140 15600290 15650954 17160319 21915784 27394730 28456280 31200580 31301908 34320638 39127385 54789460 62401160 62603816 68641276 78254770 85801595 109578920 137282552 156509540 171603190 313019080 343206380 525729773 686412760 1051459546 2102919092 2628648865 4205838184 5257297730 5783027503 10514595460 11566055006 21029190920 23132110012 28915137515 46264220024 57830275030 115660550060 231321100120