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103123042000 = 24531110214591
BaseRepresentation
bin110000000001010011…
…1001011111011010000
3100212011211012022110221
41200002213023323100
53142143444321000
6115212444402424
710310325252136
oct1400247137320
9325154168427
10103123042000
113a8092a5850
1217b9b846414
1399558446a4
144dc3b35756
152a384d561a
hex18029cbed0

103123042000 has 160 divisors (see below), whose sum is σ = 272345568768. Its totient is φ = 37454400000.

The previous prime is 103123041977. The next prime is 103123042031. The reversal of 103123042000 is 240321301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22459705 + ... + 22464295.

Almost surely, 2103123042000 is an apocalyptic number.

103123042000 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 103123042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136172784384).

103123042000 is an abundant number, since it is smaller than the sum of its proper divisors (169222526768).

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

103123042000 is a wasteful number, since it uses less digits than its factorization.

103123042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 103123042000 its reverse (240321301), we get a palindrome (103363363301).

The spelling of 103123042000 in words is "one hundred three billion, one hundred twenty-three million, forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1021 1100 1375 2000 2042 2200 2750 4084 4400 4591 5105 5500 8168 9182 10210 11000 11231 16336 18364 20420 22000 22462 22955 25525 36728 40840 44924 45910 50501 51050 56155 73456 81680 89848 91820 101002 102100 112310 114775 127625 179696 183640 202004 204200 224620 229550 252505 255250 280775 367280 404008 408400 449240 459100 505010 510500 561550 573875 808016 898480 918200 1010020 1021000 1123100 1147750 1262525 1403875 1836400 2020040 2042000 2246200 2295500 2525050 2807750 4040080 4492400 4591000 4687411 5050100 5615500 6312625 9182000 9374822 10100200 11231000 12625250 18749644 20200400 22462000 23437055 25250500 37499288 46874110 50501000 51561521 74998576 93748220 101002000 103123042 117185275 187496440 206246084 234370550 257807605 374992880 412492168 468741100 515615210 585926375 824984336 937482200 1031230420 1171852750 1289038025 1874964400 2062460840 2343705500 2578076050 4124921680 4687411000 5156152100 6445190125 9374822000 10312304200 12890380250 20624608400 25780760500 51561521000 103123042000