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133131004410 = 235294310693329
BaseRepresentation
bin111101111111100111…
…0011110100111111010
3110201122010110202020010
41323333032132213322
54140123014120120
6141054243242350
712422052603045
oct1737716364772
9421563422203
10133131004410
1151507a88088
12219753793b6
13c728766a71
14662d253c5c
1536e2b837e0
hex1eff39e9fa

133131004410 has 128 divisors (see below), whose sum is σ = 338637024000. Its totient is φ = 33438892032.

The previous prime is 133131004403. The next prime is 133131004427. The reversal of 133131004410 is 14400131331.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39989626 + ... + 39992954.

It is an arithmetic number, because the mean of its divisors is an integer number (2645601750).

Almost surely, 2133131004410 is an apocalyptic number.

133131004410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133131004410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169318512000).

133131004410 is an abundant number, since it is smaller than the sum of its proper divisors (205506019590).

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

133131004410 is a wasteful number, since it uses less digits than its factorization.

133131004410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 133131004410 its reverse (14400131331), we get a palindrome (147531135741).

The spelling of 133131004410 in words is "one hundred thirty-three billion, one hundred thirty-one million, four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 43 58 86 87 129 145 174 215 258 290 430 435 645 870 1069 1247 1290 2138 2494 3207 3329 3741 5345 6235 6414 6658 7482 9987 10690 12470 16035 16645 18705 19974 31001 32070 33290 37410 45967 49935 62002 91934 93003 96541 99870 137901 143147 155005 186006 193082 229835 275802 286294 289623 310010 429441 459670 465015 482705 579246 689505 715735 858882 930030 965410 1333043 1379010 1431470 1448115 2147205 2666086 2896230 3558701 3999129 4151263 4294410 6665215 7117402 7998258 8302526 10676103 12453789 13330430 17793505 19995645 20756315 21352206 24907578 35587010 39991290 41512630 53380515 62268945 103202329 106761030 124537890 153024143 206404658 306048286 309606987 459072429 516011645 619213974 765120715 918144858 1032023290 1530241430 1548034935 2295362145 3096069870 4437700147 4590724290 8875400294 13313100441 22188500735 26626200882 44377001470 66565502205 133131004410