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1121260300446 = 231113341188603
BaseRepresentation
bin10000010100010000010…
…100100110100010011110
310222012011120001221011210
4100110100110212202132
5121332320114103241
62215033323325250
7144002606204526
oct20242024464236
93865146057153
101121260300446
113a2584232430
12161383980826
13819715cb000
143c3aacd8686
151e2771b9316
hex1051052689e

1121260300446 has 128 divisors (see below), whose sum is σ = 2714811240960. Its totient is φ = 305987884800.

The previous prime is 1121260300427. The next prime is 1121260300453. The reversal of 1121260300446 is 6440030621211.

It is a super-2 number, since 2×11212603004462 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 5850781 + ... + 6039383.

It is an arithmetic number, because the mean of its divisors is an integer number (21209462820).

Almost surely, 21121260300446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121260300446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357405620480).

1121260300446 is an abundant number, since it is smaller than the sum of its proper divisors (1593550940514).

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

1121260300446 is a wasteful number, since it uses less digits than its factorization.

1121260300446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188699 (or 188673 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 1121260300446 its reverse (6440030621211), we get a palindrome (7561290921657).

The spelling of 1121260300446 in words is "one trillion, one hundred twenty-one billion, two hundred sixty million, three hundred thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 41 66 78 82 123 143 169 246 286 338 429 451 507 533 858 902 1014 1066 1353 1599 1859 2197 2706 3198 3718 4394 5577 5863 6591 6929 11154 11726 13182 13858 17589 20787 24167 35178 41574 48334 72501 76219 90077 145002 152438 180154 188603 228657 270231 377206 457314 540462 565809 990847 1131618 1981694 2074633 2451839 2972541 4149266 4903678 5945082 6223899 7355517 7732723 12447798 14711034 15465446 23198169 26970229 31873907 46396338 53940458 63747814 80910687 85059953 95621721 100525399 161821374 170119906 191243442 201050798 255179859 301576197 350612977 414360791 510359718 603152394 701225954 828721582 1051838931 1105779389 1243082373 1306830187 2103677862 2211558778 2486164746 2613660374 3317338167 3920490561 4557968701 6634676334 7840981122 9115937402 13673906103 14375132057 16988792431 27347812206 28750264114 33977584862 43125396171 50966377293 86250792342 101932754586 186876716741 373753433482 560630150223 1121260300446