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1230103022100 = 22352171013923789
BaseRepresentation
bin10001111001100111110…
…110101000101000010100
311100121002222212002002220
4101321213312220220110
5130123222333201400
62341033532502340
7154605046111611
oct21714766505024
94317088762086
101230103022100
114347580a6157
1217a49b01a9b0
138bcc9111014
144377450d508
1521ee78b47a0
hex11e67da8a14

1230103022100 has 144 divisors (see below), whose sum is σ = 3768986894400. Its totient is φ = 308688312320.

The previous prime is 1230103022087. The next prime is 1230103022107. The reversal of 1230103022100 is 12203010321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1230103022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230103022107) 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, 51697006 + ... + 51720794.

It is an arithmetic number, because the mean of its divisors is an integer number (26173520100).

Almost surely, 21230103022100 is an apocalyptic number.

1230103022100 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 1230103022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884493447200).

1230103022100 is an abundant number, since it is smaller than the sum of its proper divisors (2538883872300).

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

1230103022100 is a wasteful number, since it uses less digits than its factorization.

1230103022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33962 (or 33955 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1230103022100 its reverse (12203010321), we get a palindrome (1242306032421).

It can be divided in two parts, 12301030 and 22100, that added together give a triangular number (12323130 = T4964).

The spelling of 1230103022100 in words is "one trillion, two hundred thirty billion, one hundred three million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 10139 20278 23789 30417 40556 47578 50695 60834 71367 95156 101390 118945 121668 142734 152085 172363 202780 237890 253475 285468 304170 344726 356835 404413 475780 506950 517089 594725 608340 689452 713670 760425 808826 861815 1013900 1034178 1189450 1213239 1427340 1520850 1617652 1723630 1784175 2022065 2068356 2378900 2426478 2585445 3041700 3447260 3568350 4044130 4309075 4852956 5170890 6066195 7136700 8088260 8618150 10110325 10341780 12132390 12927225 17236300 20220650 24264780 25854450 30330975 40441300 51708900 60661950 121323900 241196671 482393342 723590013 964786684 1205983355 1447180026 2411966710 2894360052 3617950065 4100343407 4823933420 6029916775 7235900130 8200686814 12059833550 12301030221 14471800260 16401373628 18089750325 20501717035 24119667100 24602060442 36179500650 41003434070 49204120884 61505151105 72359001300 82006868140 102508585175 123010302210 205017170350 246020604420 307525755525 410034340700 615051511050 1230103022100