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1123012303220 = 225296740217187
BaseRepresentation
bin10000010101111000101…
…111111101100101110100
310222100200122202220011102
4100111320233331211310
5121344412122200340
62215523231025232
7144064202035403
oct20257057754564
93870618686142
101123012303220
113a32a3194005
1216179266b218
1381b90584442
143c4d587963a
151e32ade1215
hex10578bfd974

1123012303220 has 96 divisors (see below), whose sum is σ = 2477020452480. Its totient is φ = 427076052480.

The previous prime is 1123012303159. The next prime is 1123012303229. The reversal of 1123012303220 is 223032103211.

It is a super-2 number, since 2×11230123032202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1123012303192 and 1123012303201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123012303229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156252467 + ... + 156259653.

It is an arithmetic number, because the mean of its divisors is an integer number (25802296380).

Almost surely, 21123012303220 is an apocalyptic number.

1123012303220 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 1123012303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238510226240).

1123012303220 is an abundant number, since it is smaller than the sum of its proper divisors (1354008149260).

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

1123012303220 is a wasteful number, since it uses less digits than its factorization.

1123012303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11313 (or 11311 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1123012303220 its reverse (223032103211), we get a palindrome (1346044406431).

The spelling of 1123012303220 in words is "one trillion, one hundred twenty-three billion, twelve million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 67 116 134 145 268 290 335 580 670 1340 1943 3886 4021 7187 7772 8042 9715 14374 16084 19430 20105 28748 35935 38860 40210 71870 80420 116609 143740 208423 233218 269407 416846 466436 481529 538814 583045 833692 963058 1042115 1077628 1166090 1347035 1926116 2084230 2332180 2407645 2694070 4168460 4815290 5388140 7812803 9630580 13964341 15625606 27928682 28898927 31251212 39064015 55857364 57797854 69821705 78128030 115595708 139643410 144494635 156256060 279286820 288989270 577978540 838068883 1676137766 1936228109 3352275532 3872456218 4190344415 7744912436 8380688830 9681140545 16761377660 19362281090 38724562180 56150615161 112301230322 224602460644 280753075805 561506151610 1123012303220