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1023013101000 = 233531131000397
BaseRepresentation
bin11101110001100000101…
…01010001110111001000
310121210120112122002021010
432320300111101313020
5113230112323213000
62101544333043520
7133624134611652
oct16706025216710
93553515562233
101023013101000
11364948253330
121463250265a0
1375614c93b77
143772a9856d2
151b926cb2d50
hexee30551dc8

1023013101000 has 128 divisors (see below), whose sum is σ = 3481964703360. Its totient is φ = 248003168000.

The previous prime is 1023013100929. The next prime is 1023013101001. The reversal of 1023013101000 is 1013103201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1023013101001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15467199 + ... + 15533198.

It is an arithmetic number, because the mean of its divisors is an integer number (27202849245).

Almost surely, 21023013101000 is an apocalyptic number.

1023013101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023013101000 is an abundant number, since it is smaller than the sum of its proper divisors (2458951602360).

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

1023013101000 is a wasteful number, since it uses less digits than its factorization.

1023013101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31000432 (or 31000418 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1023013101000 its reverse (1013103201), we get a palindrome (1024026204201).

The spelling of 1023013101000 in words is "one trillion, twenty-three billion, thirteen million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 31000397 62000794 93001191 124001588 155001985 186002382 248003176 310003970 341004367 372004764 465005955 620007940 682008734 744009528 775009925 930011910 1023013101 1240015880 1364017468 1550019850 1705021835 1860023820 2046026202 2325029775 2728034936 3100039700 3410043670 3720047640 3875049625 4092052404 4650059550 5115065505 6200079400 6820087340 7750099250 8184104808 8525109175 9300119100 10230131010 11625148875 13640174680 15500198500 17050218350 18600238200 20460262020 23250297750 25575327525 31000397000 34100436700 40920524040 42625545875 46500595500 51150655050 68200873400 85251091750 93001191000 102301310100 127876637625 170502183500 204602620200 255753275250 341004367000 511506550500 1023013101000