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130212122100 = 223527312746817
BaseRepresentation
bin111100101000100111…
…1110100110111110100
3110110002201002011102220
41321101033310313310
54113133300401400
6135452453402340
712256530530064
oct1712117646764
9413081064386
10130212122100
115024a391655
122129b9393b0
13c381b14578
1464337253a4
1535c17b47a0
hex1e513f4df4

130212122100 has 144 divisors (see below), whose sum is σ = 384923363328. Its totient is φ = 33977180160.

The previous prime is 130212122087. The next prime is 130212122137. The reversal of 130212122100 is 1221212031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130212122100.

It is a congruent number.

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, 2757892 + ... + 2804708.

It is an arithmetic number, because the mean of its divisors is an integer number (2673078912).

Almost surely, 2130212122100 is an apocalyptic number.

130212122100 is a gapful number since it is divisible by the number (10) 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 130212122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192461681664).

130212122100 is an abundant number, since it is smaller than the sum of its proper divisors (254711241228).

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

130212122100 is a wasteful number, since it uses less digits than its factorization.

130212122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47034 (or 47027 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 130212122100 its reverse (1221212031), we get a palindrome (131433334131).

The spelling of 130212122100 in words is "one hundred thirty billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 127 146 150 219 254 292 300 365 381 438 508 635 730 762 876 1095 1270 1460 1524 1825 1905 2190 2540 3175 3650 3810 4380 5475 6350 7300 7620 9271 9525 10950 12700 18542 19050 21900 27813 37084 38100 46355 46817 55626 92710 93634 111252 139065 140451 185420 187268 231775 234085 278130 280902 463550 468170 556260 561804 695325 702255 927100 936340 1170425 1390650 1404510 2340850 2781300 2809020 3417641 3511275 4681700 5945759 6835282 7022550 10252923 11891518 13670564 14045100 17088205 17837277 20505846 23783036 29728795 34176410 35674554 41011692 51264615 59457590 68352820 71349108 85441025 89186385 102529230 118915180 148643975 170882050 178372770 205058460 256323075 297287950 341764100 356745540 434040407 445931925 512646150 594575900 868080814 891863850 1025292300 1302121221 1736161628 1783727700 2170202035 2604242442 4340404070 5208484884 6510606105 8680808140 10851010175 13021212210 21702020350 26042424420 32553030525 43404040700 65106061050 130212122100