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1003334520132 = 2232713743636661
BaseRepresentation
bin11101001100110110110…
…01011100110101000100
310112220210002220121011200
432212123121130311010
5112414312114121012
62044531524502500
7132326364464040
oct16463331346504
93486702817150
101003334520132
1135756a1a825a
1214255284aa30
13737ca076389
14367c124b020
151b1743873dc
hexe99b65cd44

1003334520132 has 144 divisors (see below), whose sum is σ = 2920786657152. Its totient is φ = 284466608640.

The previous prime is 1003334520127. The next prime is 1003334520151. The reversal of 1003334520132 is 2310254333001.

1003334520132 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 3 + 4 + 520 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1003334520096 and 1003334520105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150624882 + ... + 150631542.

Almost surely, 21003334520132 is an apocalyptic number.

1003334520132 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 1003334520132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460393328576).

1003334520132 is an abundant number, since it is smaller than the sum of its proper divisors (1917452137020).

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

1003334520132 is a wasteful number, since it uses less digits than its factorization.

1003334520132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178 (or 11173 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 1003334520132 its reverse (2310254333001), we get a palindrome (3313588853133).

The spelling of 1003334520132 in words is "one trillion, three billion, three hundred thirty-four million, five hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 1233 1644 1918 2466 2877 3836 4363 4932 5754 6661 8631 8726 11508 13089 13322 17262 17452 19983 26178 26644 30541 34524 39267 39966 46627 52356 59949 61082 78534 79932 91623 93254 119898 122164 139881 157068 183246 186508 239796 274869 279762 366492 419643 549738 559524 597731 839286 912557 1099476 1195462 1678572 1793193 1825114 2390924 2737671 3586386 3650228 4184117 5379579 5475342 6387899 7172772 8213013 8368234 10759158 10950684 12552351 12775798 16426026 16736468 19163697 21518316 25104702 25551596 29061943 32852052 37657053 38327394 50209404 57491091 58123886 75314106 76654788 87185829 114982182 116247772 150628212 174371658 203433601 229964364 261557487 348743316 406867202 523114974 610300803 813734404 1046229948 1220601606 1830902409 2441203212 3661804818 3981486191 7323609636 7962972382 11944458573 15925944764 23888917146 27870403337 35833375719 47777834292 55740806674 71666751438 83611210011 111481613348 143333502876 167222420022 250833630033 334444840044 501667260066 1003334520132