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101223321320 = 235117313723003
BaseRepresentation
bin101111001000101100…
…0010100111011101000
3100200021102112111121202
41132101120110323220
53124301132240240
6114300143023332
710212260014652
oct1362130247350
9320242474552
10101223321320
1139a23a20560
121774b59ab48
1397120ab004
144c837016d2
152976830315
hex1791614ee8

101223321320 has 128 divisors (see below), whose sum is σ = 253710195840. Its totient is φ = 36037693440.

The previous prime is 101223321319. The next prime is 101223321341. The reversal of 101223321320 is 23123322101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101223321292 and 101223321301.

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, 4388939 + ... + 4411941.

It is an arithmetic number, because the mean of its divisors is an integer number (1982110905).

Almost surely, 2101223321320 is an apocalyptic number.

101223321320 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 101223321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126855097920).

101223321320 is an abundant number, since it is smaller than the sum of its proper divisors (152486874520).

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

101223321320 is a wasteful number, since it uses less digits than its factorization.

101223321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23235 (or 23231 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 101223321320 its reverse (23123322101), we get a palindrome (124346643421).

It can be divided in two parts, 1012 and 23321320, that added together give a palindrome (23322332).

The spelling of 101223321320 in words is "one hundred one billion, two hundred twenty-three million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 137 146 220 274 292 365 440 548 584 685 730 803 1096 1370 1460 1507 1606 2740 2920 3014 3212 4015 5480 6028 6424 7535 8030 10001 12056 15070 16060 20002 23003 30140 32120 40004 46006 50005 60280 80008 92012 100010 110011 115015 184024 200020 220022 230030 253033 400040 440044 460060 506066 550055 880088 920120 1012132 1100110 1265165 1679219 2024264 2200220 2530330 3151411 3358438 4400440 5060660 6302822 6716876 8396095 10121320 12605644 13433752 15757055 16792190 18471409 25211288 31514110 33584380 34665521 36942818 63028220 67168760 69331042 73885636 92357045 126056440 138662084 147771272 173327605 184714090 230053003 277324168 346655210 369428180 460106006 693310420 738856360 920212012 1150265015 1386620840 1840424024 2300530030 2530583033 4601060060 5061166066 9202120120 10122332132 12652915165 20244664264 25305830330 50611660660 101223321320