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10023131201020 = 2257247259183987
BaseRepresentation
bin1001000111011011000100…
…1011001011110111111100
31022111012110020200000101021
42101312301023023313330
52303204333041413040
633152321330553524
72053101351326200
oct221666113136774
938435406600337
1010023131201020
113214871295783
12115a6724388a4
1357923c463a12
1426919d210b00
15125ad0a1c24a
hex91db12cbdfc

10023131201020 has 144 divisors (see below), whose sum is σ = 25015985713152. Its totient is φ = 3362046925440.

The previous prime is 10023131200987. The next prime is 10023131201063. The reversal of 10023131201020 is 2010213132001.

It is a junction number, because it is equal to n+sod(n) for n = 10023131200985 and 10023131201003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119299467 + ... + 119383453.

It is an arithmetic number, because the mean of its divisors is an integer number (173722123008).

Almost surely, 210023131201020 is an apocalyptic number.

10023131201020 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 10023131201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12507992856576).

10023131201020 is an abundant number, since it is smaller than the sum of its proper divisors (14992854512132).

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

10023131201020 is a wasteful number, since it uses less digits than its factorization.

10023131201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86648 (or 86639 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10023131201020 its reverse (2010213132001), we get a palindrome (12033344333021).

The spelling of 10023131201020 in words is "ten trillion, twenty-three billion, one hundred thirty-one million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 94 98 140 188 196 235 245 329 470 490 658 940 980 1316 1645 2303 2591 3290 4606 5182 6580 9212 10364 11515 12955 18137 23030 25910 36274 46060 51820 72548 83987 90685 121777 126959 167974 181370 243554 253918 335948 362740 419935 487108 507836 587909 608885 634795 839870 852439 1175818 1217770 1269590 1679740 1704878 2351636 2435540 2539180 2939545 3409756 3947389 4115363 4262195 5879090 5967073 7894778 8230726 8524390 11758180 11934146 15789556 16461452 17048780 19736945 20576815 23868292 27631723 29835365 39473890 41153630 55263446 59670730 78947780 82307260 110526892 119341460 138158615 193422061 217610317 276317230 386844122 435220634 552634460 773688244 870441268 967110305 1088051585 1523272219 1934220610 2176103170 3046544438 3868441220 4352206340 6093088876 7616361095 10227684899 10662905533 15232722190 20455369798 21325811066 30465444380 40910739596 42651622132 51138424495 53314527665 71593794293 102276848990 106629055330 143187588586 204553697980 213258110660 286375177172 357968971465 501156560051 715937942930 1002313120102 1431875885860 2004626240204 2505782800255 5011565600510 10023131201020