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1121031312330 = 2354113954711987
BaseRepresentation
bin10000010100000010101…
…011000101001111001010
310222011120121012010112110
4100110002223011033022
5121331333003443310
62214554503323150
7143664125634636
oct20240253051712
93864517163473
101121031312330
113a2476a50256
1216131b1504b6
1381936034497
143c38872bdc6
151e262035d20
hex10502ac53ca

1121031312330 has 128 divisors (see below), whose sum is σ = 2781231344640. Its totient is φ = 288998760960.

The previous prime is 1121031312221. The next prime is 1121031312353. The reversal of 1121031312330 is 332131301211.

It is a happy number.

It is a super-2 number, since 2×11210313123302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1121031312297 and 1121031312306.

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, 93514597 + ... + 93526583.

It is an arithmetic number, because the mean of its divisors is an integer number (21728369880).

Almost surely, 21121031312330 is an apocalyptic number.

1121031312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121031312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390615672320).

1121031312330 is an abundant number, since it is smaller than the sum of its proper divisors (1660200032310).

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

1121031312330 is a wasteful number, since it uses less digits than its factorization.

1121031312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12724.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1121031312330 its reverse (332131301211), we get a palindrome (1453162613541).

The spelling of 1121031312330 in words is "one trillion, one hundred twenty-one billion, thirty-one million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 139 205 246 278 410 417 547 615 695 834 1094 1230 1390 1641 2085 2735 3282 4170 5470 5699 8205 11398 11987 16410 17097 22427 23974 28495 34194 35961 44854 56990 59935 67281 71922 76033 85485 112135 119870 134562 152066 170970 179805 224270 228099 336405 359610 380165 456198 491467 672810 760330 982934 1140495 1474401 1666193 2280990 2457335 2948802 3117353 3332386 4914670 4998579 6234706 6556889 7372005 8330965 9352059 9997158 13113778 14744010 15586765 16661930 18704118 19670667 24992895 31173530 32784445 39341334 46760295 49985790 65568890 68313913 93520590 98353335 136627826 196706670 204941739 268832449 341569565 409883478 537664898 683139130 806497347 911407571 1024708695 1344162245 1612994694 1822815142 2049417390 2688324490 2734222713 4032486735 4557037855 5468445426 8064973470 9114075710 13671113565 27342227130 37367710411 74735420822 112103131233 186838552055 224206262466 373677104110 560515656165 1121031312330