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11021021301132 = 2235107772313721
BaseRepresentation
bin1010000001100000100000…
…0011110100100110001100
31110000121011220221102100000
42200120020003310212030
52421032022423114012
635234553131004300
72215146116246463
oct240301003644614
943017156842300
1011021021301132
113569a97230657
12129bb45899690
1361c37c58658b
142a15c53519da
15141a36e12ddc
hexa06080f498c

11021021301132 has 144 divisors (see below), whose sum is σ = 29166402125952. Its totient is φ = 3638603928960.

The previous prime is 11021021301131. The next prime is 11021021301133. The reversal of 11021021301132 is 23110312012011.

11021021301132 is a `hidden beast` number, since 1 + 1 + 0 + 210 + 21 + 301 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (11021021301131) and next prime (11021021301133).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11021021301131) 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, 803216032 + ... + 803229752.

It is an arithmetic number, because the mean of its divisors is an integer number (202544459208).

Almost surely, 211021021301132 is an apocalyptic number.

11021021301132 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 11021021301132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14583201062976).

11021021301132 is an abundant number, since it is smaller than the sum of its proper divisors (18145380824820).

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

11021021301132 is a wasteful number, since it uses less digits than its factorization.

11021021301132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21570 (or 21556 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11021021301132 its reverse (23110312012011), we get a palindrome (34131333313143).

The spelling of 11021021301132 in words is "eleven trillion, twenty-one billion, twenty-one million, three hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 243 321 324 428 486 642 963 972 1284 1926 2889 3852 5778 7723 8667 11556 13721 15446 17334 23169 26001 27442 30892 34668 41163 46338 52002 54884 69507 82326 92676 104004 123489 139014 164652 208521 246978 278028 370467 417042 493956 625563 740934 826361 834084 1111401 1251126 1468147 1481868 1652722 1876689 2222802 2479083 2502252 2936294 3305444 3334203 3753378 4404441 4445604 4958166 5872588 6668406 7437249 7506756 8808882 9916332 13213323 13336812 14874498 17617764 22311747 26426646 29748996 39639969 44623494 52853292 66935241 79279938 89246988 105967283 118919907 133870482 158559876 200805723 211934566 237839814 267740964 317901849 356759721 401611446 423869132 475679628 635803698 713519442 803222892 953705547 1271607396 1427038884 1907411094 2861116641 3814822188 5722233282 8583349923 11338499281 11444466564 17166699846 22676998562 25750049769 34015497843 34333399692 45353997124 51500099538 68030995686 102046493529 103000199076 136061991372 204092987058 306139480587 408185974116 612278961174 918418441761 1224557922348 1836836883522 2755255325283 3673673767044 5510510650566 11021021301132