Search a number
-
+
10220110300000 = 2555891148327
BaseRepresentation
bin1001010010111000111000…
…0010110100001101100000
31100012000220001121000201201
42110232032002310031200
52314421241214100000
633423015344410544
72103243601126456
oct224561602641540
940160801530651
1010220110300000
113290362910267
121190886316a54
135919a19610a3
142749280089d6
1512acadb6e96a
hex94b8e0b4360

10220110300000 has 144 divisors (see below), whose sum is σ = 25432043182560. Its totient is φ = 4042107520000.

The previous prime is 10220110299943. The next prime is 10220110300021. The reversal of 10220110300000 is 301102201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10220110300000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8325837 + ... + 9474163.

It is an arithmetic number, because the mean of its divisors is an integer number (176611410990).

Almost surely, 210220110300000 is an apocalyptic number.

10220110300000 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 10220110300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12716021591280).

10220110300000 is an abundant number, since it is smaller than the sum of its proper divisors (15211932882560).

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

10220110300000 is an frugal number, since it uses more digits than its factorization.

10220110300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148451 (or 1148423 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10220110300000 its reverse (301102201), we get a palindrome (10220411402201).

The spelling of 10220110300000 in words is "ten trillion, two hundred twenty billion, one hundred ten million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 200 250 356 400 445 500 625 712 800 890 1000 1250 1424 1780 2000 2225 2500 2848 3125 3560 4000 4450 5000 6250 7120 8900 10000 11125 12500 14240 17800 20000 22250 25000 35600 44500 50000 55625 71200 89000 100000 111250 178000 222500 278125 356000 445000 556250 890000 1112500 1148327 1780000 2225000 2296654 4450000 4593308 5741635 8900000 9186616 11483270 18373232 22966540 28708175 36746464 45933080 57416350 91866160 102201103 114832700 143540875 183732320 204402206 229665400 287081750 408804412 459330800 511005515 574163500 717704375 817608824 918661600 1022011030 1148327000 1435408750 1635217648 2044022060 2296654000 2555027575 2870817500 3270435296 3588521875 4088044120 4593308000 5110055150 5741635000 7177043750 8176088240 10220110300 11483270000 12775137875 14354087500 16352176480 20440220600 22966540000 25550275750 28708175000 40880441200 51100551500 57416350000 63875689375 81760882400 102201103000 114832700000 127751378750 204402206000 255502757500 319378446875 408804412000 511005515000 638756893750 1022011030000 1277513787500 2044022060000 2555027575000 5110055150000 10220110300000