Search a number
-
+
1001130237552 = 24331241529349
BaseRepresentation
bin11101001000110000000…
…00110001111001110000
310112201002111011102221010
432210120000301321300
5112400303320100202
62043525103230520
7132220640420154
oct16443000617160
93481074142833
101001130237552
11356638a13115
121420385a8440
13735384a5663
14366525b7064
151b095ac176c
hexe918031e70

1001130237552 has 120 divisors (see below), whose sum is σ = 2737556816400. Its totient is φ = 315067929600.

The previous prime is 1001130237529. The next prime is 1001130237571. The reversal of 1001130237552 is 2557320311001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1626574 + ... + 2155922.

It is an arithmetic number, because the mean of its divisors is an integer number (22812973470).

Almost surely, 21001130237552 is an apocalyptic number.

1001130237552 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 1001130237552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368778408200).

1001130237552 is an abundant number, since it is smaller than the sum of its proper divisors (1736426578848).

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

1001130237552 is a wasteful number, since it uses less digits than its factorization.

1001130237552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529463 (or 529426 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

Adding to 1001130237552 its reverse (2557320311001), we get a palindrome (3558450548553).

The spelling of 1001130237552 in words is "one trillion, one billion, one hundred thirty million, two hundred thirty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 372 492 496 656 744 961 984 1271 1488 1922 1968 2542 2883 3813 3844 5084 5766 7626 7688 10168 11532 15252 15376 20336 23064 30504 39401 46128 61008 78802 118203 157604 236406 315208 472812 529349 630416 945624 1058698 1588047 1891248 2117396 3176094 4234792 6352188 8469584 12704376 16409819 21703309 25408752 32819638 43406618 49229457 65109927 65639276 86813236 98458914 130219854 131278552 173626472 196917828 260439708 262557104 347252944 393835656 508704389 520879416 672802579 787671312 1017408778 1041758832 1345605158 1526113167 2018407737 2034817556 2691210316 3052226334 4036815474 4069635112 5382420632 6104452668 8073630948 8139270224 10764841264 12208905336 16147261896 20856879949 24417810672 32294523792 41713759898 62570639847 83427519796 125141279694 166855039592 250282559388 333710079184 500565118776 1001130237552