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1010153423000 = 23537120277019
BaseRepresentation
bin11101011001100011101…
…01100000000010011000
310120120101022212202101202
432230301311200002120
5113022243234014000
62052020313333332
7132660354265241
oct16546165400230
93516338782352
101010153423000
1135a4492aa977
12143936407248
13743459b2c47
1436c6ab05cc8
151b422d2cdd5
hexeb31d60098

1010153423000 has 128 divisors (see below), whose sum is σ = 2398575628800. Its totient is φ = 398117104000.

The previous prime is 1010153422997. The next prime is 1010153423009. The reversal of 1010153423000 is 3243510101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010153423009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143913491 + ... + 143920509.

It is an arithmetic number, because the mean of its divisors is an integer number (18738872100).

Almost surely, 21010153423000 is an apocalyptic number.

1010153423000 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 1010153423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199287814400).

1010153423000 is an abundant number, since it is smaller than the sum of its proper divisors (1388422205800).

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

1010153423000 is a wasteful number, since it uses less digits than its factorization.

1010153423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138 (or 9124 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 1010153423000 its reverse (3243510101), we get a palindrome (1013396933101).

The spelling of 1010153423000 in words is "one trillion, ten billion, one hundred fifty-three million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 710 1000 1420 1775 2027 2840 3550 4054 7019 7100 8108 8875 10135 14038 14200 16216 17750 20270 28076 35095 35500 40540 50675 56152 70190 71000 81080 101350 140380 143917 175475 202700 253375 280760 287834 350950 405400 498349 506750 575668 701900 719585 877375 996698 1013500 1151336 1403800 1439170 1754750 1993396 2027000 2491745 2878340 3509500 3597925 3986792 4983490 5756680 7019000 7195850 9966980 12458725 14227513 14391700 17989625 19933960 24917450 28455026 28783400 35979250 49834900 56910052 62293625 71137565 71958500 99669800 113820104 124587250 142275130 143917000 249174500 284550260 355687825 498349000 569100520 711375650 1010153423 1422751300 1778439125 2020306846 2845502600 3556878250 4040613692 5050767115 7113756500 8081227384 10101534230 14227513000 20203068460 25253835575 40406136920 50507671150 101015342300 126269177875 202030684600 252538355750 505076711500 1010153423000