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1120311223140 = 223583274182073
BaseRepresentation
bin10000010011010111110…
…000001010001101100100
310222002201102012210212110
4100103113300022031210
5121323344133120030
62214355221321020
7143640233163354
oct20232760121544
93862642183773
101120311223140
113a213752a61a
12161159b66170
138184cab01c5
143c31ac44b64
151e21dbe61b0
hex104d7c0a364

1120311223140 has 96 divisors (see below), whose sum is σ = 3175861965696. Its totient is φ = 295038991360.

The previous prime is 1120311223121. The next prime is 1120311223151. The reversal of 1120311223140 is 413221130211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13609144 + ... + 13691216.

It is an arithmetic number, because the mean of its divisors is an integer number (33081895476).

Almost surely, 21120311223140 is an apocalyptic number.

1120311223140 is a gapful number since it is divisible by the number (10) 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 1120311223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587930982848).

1120311223140 is an abundant number, since it is smaller than the sum of its proper divisors (2055550742556).

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

1120311223140 is a wasteful number, since it uses less digits than its factorization.

1120311223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84909 (or 84907 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1120311223140 its reverse (413221130211), we get a palindrome (1533532353351).

The spelling of 1120311223140 in words is "one trillion, one hundred twenty billion, three hundred eleven million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 2741 4980 5482 8223 10964 13705 16446 27410 32892 41115 54820 82073 82230 164146 164460 227503 246219 328292 410365 455006 492438 682509 820730 910012 984876 1137515 1231095 1365018 1641460 2275030 2462190 2730036 3412545 4550060 4924380 6812059 6825090 13624118 13650180 20436177 27248236 34060295 40872354 68120590 81744708 102180885 136241180 204361770 224962093 408723540 449924186 674886279 899848372 1124810465 1349772558 2249620930 2699545116 3374431395 4499241860 6748862790 13497725580 18671853719 37343707438 56015561157 74687414876 93359268595 112031122314 186718537190 224062244628 280077805785 373437074380 560155611570 1120311223140