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1001001120021 = 327232513378167
BaseRepresentation
bin11101001000100000101…
…00001111000100010101
310112200202111012120222100
432210100110033010111
5112400022241320041
62043504211552313
7132214512063210
oct16442024170425
93480674176870
101001001120021
11356582044211
121420012bb699
1373517808756
143663d3a6777
151b0895b96b6
hexe91050f115

1001001120021 has 96 divisors (see below), whose sum is σ = 1736511049728. Its totient is φ = 543267648000.

The previous prime is 1001001120013. The next prime is 1001001120023. The reversal of 1001001120021 is 1200211001001.

It is a happy number.

It is not a de Polignac number, because 1001001120021 - 23 = 1001001120013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001001119985 and 1001001120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001001120023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122562480 + ... + 122570646.

It is an arithmetic number, because the mean of its divisors is an integer number (18088656768).

Almost surely, 21001001120021 is an apocalyptic number.

It is an amenable number.

1001001120021 is a deficient number, since it is larger than the sum of its proper divisors (735509929707).

1001001120021 is a wasteful number, since it uses less digits than its factorization.

1001001120021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8791 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001001120021 its reverse (1200211001001), we get a palindrome (2201212121022).

It can be divided in two parts, 1001001 and 120021, that multiplied together give a palindrome (120141141021).

The spelling of 1001001120021 in words is "one trillion, one billion, one million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 251 337 483 753 1011 1449 1757 2259 2359 3033 5271 5773 7077 7751 8167 15813 17319 21231 23253 24501 40411 51957 54257 57169 69759 73503 84587 121233 162771 171507 187841 253761 363699 488313 514521 563523 592109 761283 1314887 1690569 1776327 1945501 2049917 2752279 3944661 5328981 5836503 6149751 8256837 11833983 13618507 14349419 17509509 18449253 19265953 24770511 40855521 43048257 47148091 57797859 63302417 122566563 129144771 141444273 173393577 189907251 330036637 424332819 443116919 569721753 690822029 990109911 1329350757 2072466087 2970329733 3988052271 4835754203 6217398261 14507262609 15888906667 43521787827 47666720001 111222346669 143000160003 333667040007 1001001120021