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1121430130304 = 271110315749253
BaseRepresentation
bin10000010100011010011…
…100011100111010000000
310222012121101122011221112
4100110122130130322000
5121333142103132204
62215102231342452
7144010040554361
oct20243234347200
93865541564845
101121430130304
113a2661089090
12161410821a28
138199a850a53
143c3c56a5b68
151e28706426e
hex1051a71ce80

1121430130304 has 128 divisors (see below), whose sum is σ = 2476585687680. Its totient is φ = 501566607360.

The previous prime is 1121430130279. The next prime is 1121430130307. The reversal of 1121430130304 is 4030310341211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1121430130304.

It is not an unprimeable number, because it can be changed into a prime (1121430130307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22744142 + ... + 22793394.

It is an arithmetic number, because the mean of its divisors is an integer number (19348325685).

Almost surely, 21121430130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121430130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238292843840).

1121430130304 is an abundant number, since it is smaller than the sum of its proper divisors (1355155557376).

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

1121430130304 is a wasteful number, since it uses less digits than its factorization.

1121430130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49538 (or 49526 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1121430130304 its reverse (4030310341211), we get a palindrome (5151740471515).

The spelling of 1121430130304 in words is "one trillion, one hundred twenty-one billion, four hundred thirty million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 128 157 176 206 314 352 412 628 704 824 1133 1256 1408 1648 1727 2266 2512 3296 3454 4532 5024 6592 6908 9064 10048 13184 13816 16171 18128 20096 27632 32342 36256 49253 55264 64684 72512 98506 110528 129368 145024 177881 197012 221056 258736 355762 394024 517472 541783 711524 788048 1034944 1083566 1423048 1576096 2069888 2167132 2846096 3152192 4334264 5073059 5692192 6304384 7732721 8668528 10146118 11384384 15465442 17337056 20292236 22768768 30930884 34674112 40584472 55803649 61861768 69348224 81168944 85059931 111607298 123723536 162337888 170119862 223214596 247447072 324675776 340239724 446429192 494894144 649351552 680479448 796470263 892858384 989788288 1360958896 1592940526 1785716768 2721917792 3185881052 3571433536 5443835584 6371762104 7142867072 8761172893 10887671168 12743524208 17522345786 25487048416 35044691572 50974096832 70089383144 101948193664 140178766288 280357532576 560715065152 1121430130304