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1023123431220 = 22351114471071311
BaseRepresentation
bin11101110001101101110…
…10001001111100110100
310121210212020020102212120
432320312322021330310
5113230324044244340
62102003313515540
7133626644450262
oct16706672117464
93553766212776
101023123431220
113649a4560030
12146355b72bb0
1375631ab3617
143773b4a5432
151b9318084d0
hexee36e89f34

1023123431220 has 96 divisors (see below), whose sum is σ = 3127339708416. Its totient is φ = 247858281600.

The previous prime is 1023123431207. The next prime is 1023123431227. The reversal of 1023123431220 is 221343213201.

It is a super-2 number, since 2×10231234312202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023123431227) 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, 419365 + ... + 1490675.

It is an arithmetic number, because the mean of its divisors is an integer number (32576455296).

Almost surely, 21023123431220 is an apocalyptic number.

1023123431220 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 1023123431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563669854208).

1023123431220 is an abundant number, since it is smaller than the sum of its proper divisors (2104216277196).

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

1023123431220 is a wasteful number, since it uses less digits than its factorization.

1023123431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072781 (or 1072779 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1023123431220 its reverse (221343213201), we get a palindrome (1244466644421).

The spelling of 1023123431220 in words is "one trillion, twenty-three billion, one hundred twenty-three million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1447 2894 4341 5788 7235 8682 14470 15917 17364 21705 28940 31834 43410 47751 63668 79585 86820 95502 159170 191004 238755 318340 477510 955020 1071311 2142622 3213933 4285244 5356555 6427866 10713110 11784421 12855732 16069665 21426220 23568842 32139330 35353263 47137684 58922105 64278660 70706526 117844210 141413052 176766315 235688420 353532630 707065260 1550187017 3100374034 4650561051 6200748068 7750935085 9301122102 15501870170 17052057187 18602244204 23252805255 31003740340 34104114374 46505610510 51156171561 68208228748 85260285935 93011221020 102312343122 170520571870 204624686244 255780857805 341041143740 511561715610 1023123431220