Search a number
-
+
1001332003200 = 27352104305417
BaseRepresentation
bin11101001001001000000…
…10011101000110000000
310112201121112211012100220
432210210002131012000
5112401211443100300
62044001111543040
7132225640410204
oct16444402350600
93481545735326
101001332003200
113567318a1691
1214209408aa80
137356b22a509
14366712d8b04
151b0a8678da0
hexe92409d180

1001332003200 has 96 divisors (see below), whose sum is σ = 3298137317160. Its totient is φ = 267021864960.

The previous prime is 1001332003187. The next prime is 1001332003223. The reversal of 1001332003200 is 23002331001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001332003200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52143109 + ... + 52162308.

Almost surely, 21001332003200 is an apocalyptic number.

1001332003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001332003200 is an abundant number, since it is smaller than the sum of its proper divisors (2296805313960).

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

1001332003200 is a wasteful number, since it uses less digits than its factorization.

1001332003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104305444 (or 104305427 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1001332003200 its reverse (23002331001), we get a palindrome (1024334334201).

The spelling of 1001332003200 in words is "one trillion, one billion, three hundred thirty-two million, three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 104305417 208610834 312916251 417221668 521527085 625832502 834443336 1043054170 1251665004 1564581255 1668886672 2086108340 2503330008 2607635425 3129162510 3337773344 4172216680 5006660016 5215270850 6258325020 6675546688 7822906275 8344433360 10013320032 10430541700 12516650040 13351093376 15645812550 16688866720 20026640064 20861083400 25033300080 31291625100 33377733440 40053280128 41722166800 50066600160 62583250200 66755466880 83444333600 100133200320 125166500400 166888667200 200266400640 250333000800 333777334400 500666001600 1001332003200