Search a number
-
+
20130323033100 = 22352715316261181
BaseRepresentation
bin1001001001110111101001…
…10000001110110000001100
32122021102212211020112101110
410210323310300032300030
510114303400144024400
6110451424233012020
74145240112356460
oct444736460166014
978242784215343
1020130323033100
116461249612775
122311484554010
13b3038708c1c7
144d84545b44a0
1524d981257e50
hex124ef4c0ec0c

20130323033100 has 144 divisors (see below), whose sum is σ = 66607756441856. Its totient is φ = 4598210592000.

The previous prime is 20130323033099. The next prime is 20130323033179. The reversal of 20130323033100 is 133032303102.

It is a super-2 number, since 2×201303230331002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84510 + ... + 6345690.

Almost surely, 220130323033100 is an apocalyptic number.

20130323033100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130323033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33303878220928).

20130323033100 is an abundant number, since it is smaller than the sum of its proper divisors (46477433408756).

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

20130323033100 is a wasteful number, since it uses less digits than its factorization.

20130323033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6262736 (or 6262729 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 20130323033100 its reverse (133032303102), we get a palindrome (20263355336202).

The spelling of 20130323033100 in words is "twenty trillion, one hundred thirty billion, three hundred twenty-three million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1531 2100 3062 4593 6124 7655 9186 10717 15310 18372 21434 22965 30620 32151 38275 42868 45930 53585 64302 76550 91860 107170 114825 128604 153100 160755 214340 229650 267925 321510 459300 535850 643020 803775 1071700 1607550 3215100 6261181 12522362 18783543 25044724 31305905 37567086 43828267 62611810 75134172 87656534 93917715 125223620 131484801 156529525 175313068 187835430 219141335 262969602 313059050 375670860 438282670 469588575 525939204 626118100 657424005 876565340 939177150 1095706675 1314848010 1878354300 2191413350 2629696020 3287120025 4382826700 6574240050 9585868111 13148480100 19171736222 28757604333 38343472444 47929340555 57515208666 67101076777 95858681110 115030417332 134202153554 143788021665 191717362220 201303230331 239646702775 268404307108 287576043330 335505383885 402606460662 479293405550 575152086660 671010767770 718940108325 805212921324 958586811100 1006516151655 1342021535540 1437880216650 1677526919425 2013032303310 2875760433300 3355053838850 4026064606620 5032580758275 6710107677700 10065161516550 20130323033100