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1003143042300 = 2235272631816301
BaseRepresentation
bin11101001100011111111…
…11000001010011111100
310112220021202121111222010
432212033333001103330
5112413414104323200
62044500524451220
7132321551112450
oct16461777012374
93486252544863
101003143042300
11357481106113
121424ba6a9b10
13737994b4099
14367a3a46660
151b162663150
hexe98ffc14fc

1003143042300 has 144 divisors (see below), whose sum is σ = 3329673887232. Its totient is φ = 228417888000.

The previous prime is 1003143042277. The next prime is 1003143042347. The reversal of 1003143042300 is 32403413001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355851 + ... + 1460450.

It is an arithmetic number, because the mean of its divisors is an integer number (23122735328).

Almost surely, 21003143042300 is an apocalyptic number.

1003143042300 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 1003143042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664836943616).

1003143042300 is an abundant number, since it is smaller than the sum of its proper divisors (2326530844932).

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

1003143042300 is a wasteful number, since it uses less digits than its factorization.

1003143042300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816588 (or 1816581 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1003143042300 its reverse (32403413001), we get a palindrome (1035546455301).

The spelling of 1003143042300 in words is "one trillion, three billion, one hundred forty-three million, forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 263 300 350 420 525 526 700 789 1050 1052 1315 1578 1841 2100 2630 3156 3682 3945 5260 5523 6575 7364 7890 9205 11046 13150 15780 18410 19725 22092 26300 27615 36820 39450 46025 55230 78900 92050 110460 138075 184100 276150 552300 1816301 3632602 5448903 7265204 9081505 10897806 12714107 18163010 21795612 25428214 27244515 36326020 38142321 45407525 50856428 54489030 63570535 76284642 90815050 108978060 127141070 136222575 152569284 181630100 190711605 254282140 272445150 317852675 381423210 477687163 544890300 635705350 762846420 953558025 955374326 1271410700 1433061489 1907116050 1910748652 2388435815 2866122978 3343810141 3814232100 4776871630 5732245956 6687620282 7165307445 9553743260 10031430423 11942179075 13375240564 14330614890 16719050705 20062860846 23884358150 28661229780 33438101410 35826537225 40125721692 47768716300 50157152115 66876202820 71653074450 83595253525 100314304230 143306148900 167190507050 200628608460 250785760575 334381014100 501571521150 1003143042300