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1042001323000 = 235311617153529
BaseRepresentation
bin11110010100111000001…
…11100110001111111000
310200121120212022201000121
433022130013212033320
5114033004314314000
62114404440343024
7135165523051531
oct17123407461770
93617525281017
101042001323000
11371a01644590
12149b44174a74
137734cb696a1
143860c735688
151c188cc2b1a
hexf29c1e63f8

1042001323000 has 128 divisors (see below), whose sum is σ = 2664273643200. Its totient is φ = 378292992000.

The previous prime is 1042001322983. The next prime is 1042001323031. The reversal of 1042001323000 is 3231002401.

It is a happy number.

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, 6710236 + ... + 6863764.

Almost surely, 21042001323000 is an apocalyptic number.

1042001323000 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 1042001323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332136821600).

1042001323000 is an abundant number, since it is smaller than the sum of its proper divisors (1622272320200).

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

1042001323000 is a wasteful number, since it uses less digits than its factorization.

1042001323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154178 (or 154164 counting only the distinct ones).

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

Adding to 1042001323000 its reverse (3231002401), we get a palindrome (1045232325401).

The spelling of 1042001323000 in words is "one trillion, forty-two billion, one million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 617 1000 1100 1234 1375 2200 2468 2750 3085 4936 5500 6170 6787 11000 12340 13574 15425 24680 27148 30850 33935 54296 61700 67870 77125 123400 135740 153529 154250 169675 271480 307058 308500 339350 614116 617000 678700 767645 848375 1228232 1357400 1535290 1688819 1696750 3070580 3377638 3393500 3838225 6141160 6755276 6787000 7676450 8444095 13510552 15352900 16888190 19191125 30705800 33776380 38382250 42220475 67552760 76764500 84440950 94727393 153529000 168881900 189454786 211102375 337763800 378909572 422204750 473636965 757819144 844409500 947273930 1042001323 1688819000 1894547860 2084002646 2368184825 3789095720 4168005292 4736369650 5210006615 8336010584 9472739300 10420013230 11840924125 18945478600 20840026460 23681848250 26050033075 41680052920 47363696500 52100066150 94727393000 104200132300 130250165375 208400264600 260500330750 521000661500 1042001323000