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1121221434300 = 2235211409830719
BaseRepresentation
bin10000010100001110000…
…000010101101110111100
310222012001211221022211220
4100110032000111232330
5121332230141344200
62215025414313340
7144001624641252
oct20241600255674
93865054838756
101121221434300
113a25642a6750
12161372958850
13819665405a6
143c3a5a9c5d2
151e273a8d4a0
hex1050e015bbc

1121221434300 has 144 divisors (see below), whose sum is σ = 3547639603200. Its totient is φ = 271146355200.

The previous prime is 1121221434287. The next prime is 1121221434313. The reversal of 1121221434300 is 34341221211.

It is an interprime number because it is at equal distance from previous prime (1121221434287) and next prime (1121221434313).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 934341 + ... + 1765059.

Almost surely, 21121221434300 is an apocalyptic number.

1121221434300 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 1121221434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773819801600).

1121221434300 is an abundant number, since it is smaller than the sum of its proper divisors (2426418168900).

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

1121221434300 is a wasteful number, since it uses less digits than its factorization.

1121221434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831156 (or 831149 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1121221434300 its reverse (34341221211), we get a palindrome (1155562655511).

The spelling of 1121221434300 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-one million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 409 550 660 818 825 1100 1227 1636 1650 2045 2454 3300 4090 4499 4908 6135 8180 8998 10225 12270 13497 17996 20450 22495 24540 26994 30675 40900 44990 53988 61350 67485 89980 112475 122700 134970 224950 269940 337425 449900 674850 830719 1349700 1661438 2492157 3322876 4153595 4984314 8307190 9137909 9968628 12460785 16614380 18275818 20767975 24921570 27413727 36551636 41535950 45689545 49843140 54827454 62303925 83071900 91379090 109654908 124607850 137068635 182758180 228447725 249215700 274137270 339764071 456895450 548274540 679528142 685343175 913790900 1019292213 1359056284 1370686350 1698820355 2038584426 2741372700 3397640710 3737404781 4077168852 5096461065 6795281420 7474809562 8494101775 10192922130 11212214343 14949619124 16988203550 18687023905 20385844260 22424428686 25482305325 33976407100 37374047810 44848857372 50964610650 56061071715 74748095620 93435119525 101929221300 112122143430 186870239050 224244286860 280305358575 373740478100 560610717150 1121221434300