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23211301100 = 22521343419991
BaseRepresentation
bin10101100111100000…
…000101100011101100
32012220122011021012112
4111213200011203230
5340014043113400
614355122423152
71451124542531
oct254740054354
965818137175
1023211301100
1199311a1079
1245b9501ab8
13225baa22c0
1411a29b2d88
1590cb4c835
hex5678058ec

23211301100 has 144 divisors (see below), whose sum is σ = 55693102080. Its totient is φ = 8342611200.

The previous prime is 23211301063. The next prime is 23211301103. The reversal of 23211301100 is 110311232.

It is a super-2 number, since 2×232113011002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23211301103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23421605 + ... + 23422595.

Almost surely, 223211301100 is an apocalyptic number.

23211301100 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 23211301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27846551040).

23211301100 is an abundant number, since it is smaller than the sum of its proper divisors (32481800980).

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

23211301100 is a wasteful number, since it uses less digits than its factorization.

23211301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 23211301100 its reverse (110311232), we get a palindrome (23321612332).

The spelling of 23211301100 in words is "twenty-three billion, two hundred eleven million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 130 172 215 260 325 419 430 559 650 838 860 991 1075 1118 1300 1676 1982 2095 2150 2236 2795 3964 4190 4300 4955 5447 5590 8380 9910 10475 10894 11180 12883 13975 18017 19820 20950 21788 24775 25766 27235 27950 36034 41900 42613 49550 51532 54470 55900 64415 72068 85226 90085 99100 108940 128830 136175 170452 180170 213065 234221 257660 272350 322075 360340 415229 426130 450425 468442 544700 553969 644150 830458 852260 900850 936884 1065325 1107938 1171105 1288300 1660916 1801700 2076145 2130650 2215876 2342210 2769845 4152290 4261300 4684420 5397977 5539690 5855525 8304580 10380725 10795954 11079380 11711050 13849225 17854847 20761450 21591908 23422100 26989885 27698450 35709694 41522900 53979770 55396900 71419388 89274235 107959540 134949425 178548470 232113011 269898850 357096940 446371175 464226022 539797700 892742350 928452044 1160565055 1785484700 2321130110 4642260220 5802825275 11605650550 23211301100