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333020133130040 = 2351311911363324407
BaseRepresentation
bin100101110111000010100101…
…0101111001111111100111000
31121200010102011122221121010022
41023232011022233033330320
5322122200213040130130
63140135200453510012
7130100624230205456
oct11356051257177470
91550112148847108
10333020133130040
11971240553758a4
1231425648942308
13113a88824c1c55
145c343909379d6
1528779406437e5
hex12ee14abcff38

333020133130040 has 128 divisors (see below), whose sum is σ = 759054839685120. Its totient is φ = 131484064358400.

The previous prime is 333020133130031. The next prime is 333020133130133. The reversal of 333020133130040 is 40031331020333.

It is a super-2 number, since 2×3330201331300402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333020133129991 and 333020133130009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13644439517 + ... + 13644463923.

It is an arithmetic number, because the mean of its divisors is an integer number (5930115935040).

Almost surely, 2333020133130040 is an apocalyptic number.

It is an amenable number.

333020133130040 is an abundant number, since it is smaller than the sum of its proper divisors (426034706555080).

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

333020133130040 is a wasteful number, since it uses less digits than its factorization.

333020133130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38373 (or 38369 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 333020133130040 its reverse (40031331020333), we get a palindrome (373051464150373).

The spelling of 333020133130040 in words is "three hundred thirty-three trillion, twenty billion, one hundred thirty-three million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 131 191 262 382 524 655 764 955 1048 1310 1528 1910 2620 3820 5240 7640 13633 24407 25021 27266 48814 50042 54532 68165 97628 100084 109064 122035 125105 136330 195256 200168 244070 250210 272660 488140 500420 545320 976280 1000840 1785923 2603903 3197317 3571846 4661737 5207806 6394634 7143692 8929615 9323474 10415612 12789268 13019515 14287384 15986585 17859230 18646948 20831224 23308685 25578536 26039030 31973170 35718460 37293896 46617370 52078060 63946340 71436920 93234740 104156120 127892680 186469480 332740631 341111293 610687547 665481262 682222586 1221375094 1330962524 1364445172 1663703155 1705556465 2442750188 2661925048 2728890344 3053437735 3327406310 3411112930 4885500376 6106875470 6654812620 6822225860 12213750940 13309625240 13644451720 24427501880 43589022661 63553460521 87178045322 127106921042 174356090644 217945113305 254213842084 317767302605 348712181288 435890226610 508427684168 635534605210 871780453220 1271069210420 1743560906440 2542138420840 8325503328251 16651006656502 33302013313004 41627516641255 66604026626008 83255033282510 166510066565020 333020133130040