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10023312231020 = 22511359239952901
BaseRepresentation
bin1001000111011011101111…
…1101110000101001101100
31022111012220212022021212002
42101312323331300221230
52303210220412343040
633152351315031432
72053106010134354
oct221667375605154
938435825267762
1010023312231020
1132149544a1250
12115a702b9b578
1357926ab0866a
142691b9295b64
15125ae187aa15
hex91dbbf70a6c

10023312231020 has 96 divisors (see below), whose sum is σ = 23036493312000. Its totient is φ = 3633104288000.

The previous prime is 10023312231013. The next prime is 10023312231041. The reversal of 10023312231020 is 2013221332001.

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 = 10023312230983 and 10023312231001.

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, 189446570 + ... + 189499470.

It is an arithmetic number, because the mean of its divisors is an integer number (239963472000).

Almost surely, 210023312231020 is an apocalyptic number.

10023312231020 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 10023312231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11518246656000).

10023312231020 is an abundant number, since it is smaller than the sum of its proper divisors (13013181080980).

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

10023312231020 is a wasteful number, since it uses less digits than its factorization.

10023312231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55679 (or 55677 counting only the distinct ones).

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

Adding to 10023312231020 its reverse (2013221332001), we get a palindrome (12036533563021).

The spelling of 10023312231020 in words is "ten trillion, twenty-three billion, three hundred twelve million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 359 718 1436 1795 2399 3590 3949 4798 7180 7898 9596 11995 15796 19745 23990 26389 39490 47980 52778 52901 78980 105556 105802 131945 211604 263890 264505 527780 529010 581911 861241 1058020 1163822 1722482 2327644 2909555 3444964 4306205 5819110 8612410 9473651 11638220 17224820 18947302 18991459 37894604 37982918 47368255 75965836 94736510 94957295 126909499 189473020 189914590 208906049 253818998 379829180 417812098 507637996 634547495 835624196 1044530245 1269094990 1396004489 2089060490 2538189980 2792008978 4178120980 5584017956 6980022445 13960044890 27920089780 45560510141 91121020282 182242040564 227802550705 455605101410 501165611551 911210202820 1002331223102 2004662446204 2505828057755 5011656115510 10023312231020