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3012132220300 = 2252716372628617
BaseRepresentation
bin101011110101010001000…
…100100010110110001100
3101122221211200011220221201
4223311101010202312030
5343322321322022200
610223430543035244
7430422305266540
oct53652104426614
911587750156851
103012132220300
11a61490126425
12407930b9bb24
1318b0731a9998
14a5b062d1a20
15535448d0c6a
hex2bd51122d8c

3012132220300 has 72 divisors (see below), whose sum is σ = 7474654029024. Its totient is φ = 1032099786240.

The previous prime is 3012132220297. The next prime is 3012132220309. The reversal of 3012132220300 is 30222312103.

It is not an unprimeable number, because it can be changed into a prime (3012132220309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168409 + ... + 2460208.

It is an arithmetic number, because the mean of its divisors is an integer number (103814639292).

Almost surely, 23012132220300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012132220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737327014512).

3012132220300 is an abundant number, since it is smaller than the sum of its proper divisors (4462521808724).

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

3012132220300 is a wasteful number, since it uses less digits than its factorization.

3012132220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630275 (or 2630268 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 3012132220300 its reverse (30222312103), we get a palindrome (3042354532403).

The spelling of 3012132220300 in words is "three trillion, twelve billion, one hundred thirty-two million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1637 3274 6548 8185 11459 16370 22918 32740 40925 45836 57295 81850 114590 163700 229180 286475 572950 1145900 2628617 5257234 10514468 13143085 18400319 26286170 36800638 52572340 65715425 73601276 92001595 131430850 184003190 262861700 368006380 460007975 920015950 1840031900 4303046029 8606092058 17212184116 21515230145 30121322203 43030460290 60242644406 86060920580 107576150725 120485288812 150606611015 215152301450 301213222030 430304602900 602426444060 753033055075 1506066110150 3012132220300