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1002603121416 = 2332131178390907
BaseRepresentation
bin11101001011011111100…
…11011000101100001000
310112211220010122200202100
432211233303120230020
5112411312344341131
62044331200233400
7132302303630211
oct16455763305410
93484803580670
101002603121416
11357224362606
1214238990b860
1373711692480
143675205c408
151b1300617e6
hexe96fcd8b08

1002603121416 has 96 divisors (see below), whose sum is σ = 2924539450560. Its totient is φ = 308463693696.

The previous prime is 1002603121411. The next prime is 1002603121427. The reversal of 1002603121416 is 6141213062001.

It is a happy number.

1002603121416 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 603 + 12 + 1 + 41 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1002603121416.

It is not an unprimeable number, because it can be changed into a prime (1002603121411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10983435 + ... + 11074341.

It is an arithmetic number, because the mean of its divisors is an integer number (30463952610).

Almost surely, 21002603121416 is an apocalyptic number.

It is an amenable number.

1002603121416 is an abundant number, since it is smaller than the sum of its proper divisors (1921936329144).

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

1002603121416 is a wasteful number, since it uses less digits than its factorization.

1002603121416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102715 (or 102708 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1002603121416 its reverse (6141213062001), we get a palindrome (7143816183417).

The spelling of 1002603121416 in words is "one trillion, two billion, six hundred three million, one hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 11783 23566 35349 47132 70698 90907 94264 106047 141396 153179 181814 212094 272721 282792 306358 363628 424188 459537 545442 612716 727256 818163 848376 919074 1090884 1181791 1225432 1378611 1636326 1838148 2181768 2363582 2757222 3272652 3545373 3676296 4727164 5514444 6545304 7090746 9454328 10636119 11028888 14181492 21272238 28362984 42544476 85088952 1071157181 2142314362 3213471543 4284628724 6426943086 8569257448 9640414629 12853886172 13925043353 19280829258 25707772344 27850086706 38561658516 41775130059 55700173412 77123317032 83550260118 111400346824 125325390177 167100520236 250650780354 334201040472 501301560708 1002603121416