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120210133300032 = 2632395261285757
BaseRepresentation
bin11011010101010010011010…
…010010110011001101000000
3120202121222100212122200211110
4123111102122102303031000
5111224010323111100112
61103355434534443320
734214616110600016
oct3325223222631500
9522558325580743
10120210133300032
1135336916415736
1211595642503540
13520c9c7c38b69
1421982b6c928b6
15dd6e1c51913c
hex6d549a4b3340

120210133300032 has 112 divisors (see below), whose sum is σ = 331889143842432. Its totient is φ = 38327332116480.

The previous prime is 120210133300031. The next prime is 120210133300069. The reversal of 120210133300032 is 230003331012021.

It is a super-2 number, since 2×1202101333000322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120210133299981 and 120210133300008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120210133300031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420529698 + ... + 420815454.

Almost surely, 2120210133300032 is an apocalyptic number.

120210133300032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120210133300032 is an abundant number, since it is smaller than the sum of its proper divisors (211679010542400).

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

120210133300032 is a wasteful number, since it uses less digits than its factorization.

120210133300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381056 (or 381046 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 120210133300032 its reverse (230003331012021), we get a palindrome (350213464312053).

The spelling of 120210133300032 in words is "one hundred twenty trillion, two hundred ten billion, one hundred thirty-three million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 95261 190522 285757 285783 381044 571514 571566 762088 857271 1143028 1143132 1524176 1714542 2191003 2286056 2286264 3048352 3429084 4382006 4572112 4572528 6096704 6572411 6573009 6858168 8764012 9144224 9145056 13144822 13146018 13716336 17528024 18288448 18290112 19717233 26289644 26292036 27432672 35056048 39434466 52579288 52584072 54865344 70112096 78868932 105158576 105168144 140224192 157737864 210317152 210336288 315475728 420634304 420672576 630951456 1261902912 27221497577 54442995154 81664492731 108885990308 163328985462 217771980616 326657970924 435543961232 626094444271 653315941848 871087922464 1252188888542 1306631883696 1742175844928 1878283332813 2504377777084 2613263767392 3756566665626 5008755554168 5226527534784 7513133331252 10017511108336 15026266662504 20035022216672 30052533325008 40070044433344 60105066650016 120210133300032