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1001300102100 = 2232521735964091
BaseRepresentation
bin11101001001000100010…
…00110000101111010100
310112201112022210110021200
432210202020300233110
5112401130311231400
62043554012112500
7132225102303114
oct16444210605724
93481468713250
101001300102100
11356715892941
12142085465730
137356473b11c
143666ad93044
151b0a5976b00
hexe922230bd4

1001300102100 has 108 divisors (see below), whose sum is σ = 3138749315520. Its totient is φ = 266993812800.

The previous prime is 1001300102039. The next prime is 1001300102129. The reversal of 1001300102100 is 12010031001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 15591055 + ... + 15655145.

Almost surely, 21001300102100 is an apocalyptic number.

1001300102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001300102100 is an abundant number, since it is smaller than the sum of its proper divisors (2137449213420).

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

1001300102100 is a wasteful number, since it uses less digits than its factorization.

1001300102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81470 (or 81460 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1001300102100 its reverse (12010031001), we get a palindrome (1013310133101).

The spelling of 1001300102100 in words is "one trillion, one billion, three hundred million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 17359 34718 52077 64091 69436 86795 104154 128182 156231 173590 192273 208308 256364 260385 312462 320455 347180 384546 433975 520770 576819 624924 640910 769092 781155 867950 961365 1041540 1153638 1281820 1301925 1562310 1602275 1735900 1922730 2307276 2603850 2884095 3124620 3204550 3845460 3905775 4806825 5207700 5768190 6409100 7811550 9613650 11536380 14420475 15623100 19227300 28840950 57681900 1112555669 2225111338 3337667007 4450222676 5562778345 6675334014 10013001021 11125556690 13350668028 16688335035 20026002042 22251113380 27813891725 33376670070 40052004084 50065005105 55627783450 66753340140 83441675175 100130010210 111255566900 166883350350 200260020420 250325025525 333766700700 500650051050 1001300102100