Search a number
-
+
1002121122002 = 2711133539191543
BaseRepresentation
bin11101001010100110001…
…00101101000011010010
310112210122112200120212012
432211103010231003102
5112404321001401002
62044211301302522
7132254331664130
oct16452304550322
93483575616765
101002121122002
11356aa7280290
12142274404a42
1373665870710
1436708030750
151b102aa1d52
hexe95312d0d2

1002121122002 has 128 divisors (see below), whose sum is σ = 2027490877440. Its totient is φ = 358758512640.

The previous prime is 1002121121987. The next prime is 1002121122059. The reversal of 1002121122002 is 2002211212001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 649462043 + ... + 649463585.

It is an arithmetic number, because the mean of its divisors is an integer number (15839772480).

Almost surely, 21002121122002 is an apocalyptic number.

1002121122002 is an abundant number, since it is smaller than the sum of its proper divisors (1025369755438).

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

1002121122002 is a wasteful number, since it uses less digits than its factorization.

1002121122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002121122002 its reverse (2002211212001), we get a palindrome (3004332334003).

The spelling of 1002121122002 in words is "one trillion, two billion, one hundred twenty-one million, one hundred twenty-two thousand, two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 353 706 919 1001 1543 1838 2002 2471 3086 3883 4589 4942 6433 7766 9178 10109 10801 11947 12866 16973 20059 20218 21602 23894 27181 32123 33946 40118 50479 54362 64246 70763 83629 100958 118811 131417 140413 141526 167258 220649 237622 262834 280826 324407 353353 441298 544679 648814 706706 919919 1089358 1418017 1544543 1839838 2270849 2836034 3089086 3568477 3812753 4217291 4541698 5991469 7080827 7136954 7625506 8434582 9926119 11982938 14161654 15598187 18434221 19852238 24979339 29521037 31196374 36868442 41940283 46390201 49565789 49958678 59042074 77889097 83880566 92780402 99131578 109187309 129039547 155778194 202776431 218374618 258079094 324731407 405552862 500560001 545223679 649462814 1001120002 1090447358 1419435017 2838870034 3503920007 5506160011 6507280013 7007840014 11012320022 13014560026 38543120077 45550960091 71580080143 77086240154 91101920182 143160160286 501060561001 1002121122002