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1023010424300 = 2252234360717041
BaseRepresentation
bin11101110001100000010…
…11000100010111101100
310121210120100121002112002
432320300023010113230
5113230111132034200
62101544155431432
7133624103063114
oct16706013042754
93553510532462
101023010424300
11364946795287
12146324155578
1375614567717
143772a48a044
151b926934bd5
hexee302c45ec

1023010424300 has 144 divisors (see below), whose sum is σ = 2374366697472. Its totient is φ = 381657830400.

The previous prime is 1023010424291. The next prime is 1023010424351. The reversal of 1023010424300 is 34240103201.

It is a super-3 number, since 3×10230104243003 (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60023780 + ... + 60040820.

Almost surely, 21023010424300 is an apocalyptic number.

1023010424300 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 1023010424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187183348736).

1023010424300 is an abundant number, since it is smaller than the sum of its proper divisors (1351356273172).

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

1023010424300 is a wasteful number, since it uses less digits than its factorization.

1023010424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17728 (or 17721 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1023010424300 its reverse (34240103201), we get a palindrome (1057250527501).

The spelling of 1023010424300 in words is "one trillion, twenty-three billion, ten million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 43 46 50 86 92 100 115 172 215 230 430 460 575 607 860 989 1075 1150 1214 1978 2150 2300 2428 3035 3956 4300 4945 6070 9890 12140 13961 15175 17041 19780 24725 26101 27922 30350 34082 49450 52202 55844 60700 68164 69805 85205 98900 104404 130505 139610 170410 261010 279220 340820 349025 391943 426025 522020 600323 652525 698050 732763 783886 852050 1200646 1305050 1396100 1465526 1567772 1704100 1959715 2401292 2610100 2931052 3001615 3663815 3919430 6003230 7327630 7838860 9798575 10343887 12006460 14655260 15008075 16853549 18319075 19597150 20687774 30016150 33707098 36638150 39194300 41375548 51719435 60032300 67414196 73276300 84267745 103438870 168535490 206877740 237909401 258597175 337070980 421338725 444787141 475818802 517194350 842677450 889574282 951637604 1034388700 1189547005 1685354900 1779148564 2223935705 2379094010 4447871410 4758188020 5947735025 8895742820 10230104243 11119678525 11895470050 20460208486 22239357050 23790940100 40920416972 44478714100 51150521215 102301042430 204602084860 255752606075 511505212150 1023010424300