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1001022231020 = 2257193187118081
BaseRepresentation
bin11101001000100011001…
…00110001000111101100
310112200210221221010211012
432210101210301013230
5112400043142343040
62043510244244352
7132215156400260
oct16442144610754
93480727833735
101001022231020
11356592a53219
121420083a06b8
137351bcba776
14366421000a0
151b08b389865
hexe9119311ec

1001022231020 has 96 divisors (see below), whose sum is σ = 2529713195520. Its totient is φ = 325039288320.

The previous prime is 1001022231007. The next prime is 1001022231023. The reversal of 1001022231020 is 201322201001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1001022230986 and 1001022231004.

It is not an unprimeable number, because it can be changed into a prime (1001022231023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8418380 + ... + 8536460.

It is an arithmetic number, because the mean of its divisors is an integer number (26351179120).

Almost surely, 21001022231020 is an apocalyptic number.

1001022231020 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 1001022231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264856597760).

1001022231020 is an abundant number, since it is smaller than the sum of its proper divisors (1528690964500).

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

1001022231020 is a wasteful number, since it uses less digits than its factorization.

1001022231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121303 (or 121301 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1001022231020 its reverse (201322201001), we get a palindrome (1202344432021).

The spelling of 1001022231020 in words is "one trillion, one billion, twenty-two million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 3187 6374 12748 15935 22309 31870 44618 60553 63740 89236 111545 118081 121106 223090 236162 242212 302765 423871 446180 472324 590405 605530 826567 847742 1180810 1211060 1653134 1695484 2119355 2243539 2361620 3306268 4132835 4238710 4487078 8265670 8477420 8974156 11217695 15704773 16531340 22435390 31409546 44870780 62819092 78523865 157047730 314095460 376324147 752648294 1505296588 1881620735 2634269029 3763241470 5268538058 7150158793 7526482940 10537076116 13171345145 14300317586 26342690290 28600635172 35750793965 50051111551 52685380580 71501587930 100102223102 143003175860 200204446204 250255557755 500511115510 1001022231020