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10203111001032 = 23323383257918713
BaseRepresentation
bin1001010001111001100011…
…0011101000101111001000
31100010102000100102011110020
42110132120303220233020
52314131432404013112
633411124450420440
72102102413355205
oct224363063505710
940112010364406
1010203111001032
11328412a190354
121189521291720
135901c2b54ac1
14273b9446ccac
1512a61658548c
hex94798ce8bc8

10203111001032 has 128 divisors (see below), whose sum is σ = 26698081075200. Its totient is φ = 3243240484352.

The previous prime is 10203111000959. The next prime is 10203111001043. The reversal of 10203111001032 is 23010011130201.

It is a happy number.

It is a super-2 number, since 2×102031110010322 (a number of 27 digits) contains 22 as substring.

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, 545232508 + ... + 545251220.

It is an arithmetic number, because the mean of its divisors is an integer number (208578758400).

Almost surely, 210203111001032 is an apocalyptic number.

10203111001032 is a gapful number since it is divisible by the number (12) 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 10203111001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13349040537600).

10203111001032 is an abundant number, since it is smaller than the sum of its proper divisors (16494970074168).

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

10203111001032 is a wasteful number, since it uses less digits than its factorization.

10203111001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21707 (or 21703 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10203111001032 its reverse (23010011130201), we get a palindrome (33213122131233).

The spelling of 10203111001032 in words is "ten trillion, two hundred three billion, one hundred eleven million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 383 552 766 1149 1532 2298 2579 3064 4596 5158 7737 8809 9192 10316 15474 17618 18713 20632 26427 30948 35236 37426 52854 56139 59317 61896 70472 74852 105708 112278 118634 149704 177951 211416 224556 237268 355902 430399 449112 474536 711804 860798 987757 1291197 1423608 1721596 1975514 2582394 2963271 3443192 3951028 5164788 5926542 7167079 7902056 10329576 11853084 14334158 21501237 22718411 23706168 28668316 43002474 45436822 48260827 57336632 68155233 86004948 90873644 96521654 136310466 144782481 164842817 172009896 181747288 193043308 272620932 289564962 329685634 386086616 494528451 545241864 579129924 659371268 989056902 1109999021 1158259848 1318742536 1978113804 2219998042 3329997063 3956227608 4439996084 6659994126 8879992168 13319988252 18483896741 26639976504 36967793482 55451690223 73935586964 110903380446 147871173928 221806760892 425129625043 443613521784 850259250086 1275388875129 1700518500172 2550777750258 3401037000344 5101555500516 10203111001032