Search a number
-
+
1201200021021 = 371121337982801
BaseRepresentation
bin10001011110101101000…
…110011011111000011101
311020211111200202111100110
4101132231012123320131
5124140024201133041
62315453525120233
7152532566466420
oct21365506337035
94224450674313
101201200021021
11423476107700
12174973559079
13893710b8910
14421d1a619b7
15213a522c516
hex117ad19be1d

1201200021021 has 96 divisors (see below), whose sum is σ = 2225252425984. Its totient is φ = 560431872000.

The previous prime is 1201200020959. The next prime is 1201200021023.

1201200021021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1201200021021 - 27 = 1201200020893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1201200020988 and 1201200021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201200021023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 730821 + ... + 1713621.

Almost surely, 21201200021021 is an apocalyptic number.

1201200021021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1201200021021 is a deficient number, since it is larger than the sum of its proper divisors (1024052404963).

1201200021021 is a wasteful number, since it uses less digits than its factorization.

1201200021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982883 (or 982872 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 12012000 and 21021, that added together give a palindrome (12033021).

The spelling of 1201200021021 in words is "one trillion, two hundred one billion, two hundred million, twenty-one thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 121 143 231 259 273 363 407 429 481 777 847 1001 1221 1443 1573 2541 2849 3003 3367 4477 4719 5291 8547 10101 11011 13431 15873 31339 33033 37037 58201 94017 111111 174603 407407 982801 1222221 2948403 6879607 10810811 12776413 20638821 32432433 36363637 38329239 75675677 89434891 109090911 118918921 140540543 227027031 254545459 268304673 356756763 400000007 421621629 472727281 763636377 832432447 983783801 1200000021 1418181843 1545945973 2497297341 2800000049 2951351403 3309090967 4400000077 4637837919 5200000091 8400000147 9927272901 10821621811 13200000231 15600000273 30800000539 32464865433 36400000637 57200001001 92400001617 109200001911 171600003003 400400007007 1201200021021