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131212204010300 = 22527239924184871
BaseRepresentation
bin11101110101011000111000…
…110011110110101100111100
3122012120202122002201100121202
4131311120320303312230330
5114144240043211312200
61143022015424515032
736431524506610460
oct3565307063665474
9565522562640552
10131212204010300
1138898868517946
121287197977ba78
13582a34736415a
1424589c144c4a0
1510281e58a21d5
hex775638cf6b3c

131212204010300 has 144 divisors (see below), whose sum is σ = 326807009679360. Its totient is φ = 44793435456000.

The previous prime is 131212204010287. The next prime is 131212204010309. The reversal of 131212204010300 is 3010402212131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212204010309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1545976865 + ... + 1546061735.

Almost surely, 2131212204010300 is an apocalyptic number.

131212204010300 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 131212204010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163403504839680).

131212204010300 is an abundant number, since it is smaller than the sum of its proper divisors (195594805669060).

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

131212204010300 is a wasteful number, since it uses less digits than its factorization.

131212204010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94372 (or 94365 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131212204010300 its reverse (3010402212131), we get a palindrome (134222606222431).

The spelling of 131212204010300 in words is "one hundred thirty-one trillion, two hundred twelve billion, two hundred four million, ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 239 350 478 700 956 1195 1673 2390 3346 4780 5975 6692 8365 9241 11950 16730 18482 23900 33460 36964 41825 46205 64687 83650 84871 92410 129374 167300 169742 184820 231025 258748 323435 339484 424355 462050 594097 646870 848710 924100 1188194 1293740 1617175 1697420 2121775 2208599 2376388 2970485 3234350 4243550 4417198 5940970 6468700 8487100 8834396 11042995 11881940 14852425 15460193 20284169 22085990 29704850 30920386 40568338 44171980 55214975 59409700 61840772 77300965 81136676 101420845 110429950 141989183 154601930 202841690 220859900 283978366 309203860 386504825 405683380 507104225 567956732 709945915 773009650 784292911 1014208450 1419891830 1546019300 1568585822 2028416900 2839783660 3137171644 3549729575 3921464555 5490050377 7099459150 7842929110 10980100754 14198918300 15685858220 19607322775 21960201508 27450251885 39214645550 54900503770 78429291100 109801007540 137251259425 187446005729 274502518850 374892011458 549005037700 749784022916 937230028645 1312122040103 1874460057290 2624244080206 3748920114580 4686150143225 5248488160412 6560610200515 9372300286450 13121220401030 18744600572900 26242440802060 32803051002575 65606102005150 131212204010300