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420130331320 = 235767115119457
BaseRepresentation
bin1100001110100011011…
…10000001101010111000
31111011102121100011012111
412013101232001222320
523340411331100240
6521001043022104
742232135615420
oct6072156015270
91434377304174
10420130331320
111521a368a257
126951096a934
13308060194ab
14164978d3480
15adddd0b1ea
hex61d1b81ab8

420130331320 has 128 divisors (see below), whose sum is σ = 1097468559360. Its totient is φ = 141764198400.

The previous prime is 420130331263. The next prime is 420130331359. The reversal of 420130331320 is 23133031024.

It is a junction number, because it is equal to n+sod(n) for n = 420130331291 and 420130331300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21583032 + ... + 21602488.

It is an arithmetic number, because the mean of its divisors is an integer number (8573973120).

Almost surely, 2420130331320 is an apocalyptic number.

420130331320 is a gapful number since it is divisible by the number (40) 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 420130331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548734279680).

420130331320 is an abundant number, since it is smaller than the sum of its proper divisors (677338228040).

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

420130331320 is a wasteful number, since it uses less digits than its factorization.

420130331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20693 (or 20689 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 420130331320 its reverse (23133031024), we get a palindrome (443263362344).

The spelling of 420130331320 in words is "four hundred twenty billion, one hundred thirty million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1151 1340 1876 2302 2345 2680 3752 4604 4690 5755 8057 9208 9380 11510 16114 18760 19457 23020 32228 38914 40285 46040 64456 77117 77828 80570 97285 136199 154234 155656 161140 194570 272398 308468 322280 385585 389140 539819 544796 616936 680995 771170 778280 1079638 1089592 1303619 1361990 1542340 2159276 2607238 2699095 2723980 3084680 4318552 5214476 5398190 5447960 6518095 9125333 10428952 10796380 13036190 18250666 21592760 22395007 26072380 36501332 44790014 45626665 52144760 73002664 89580028 91253330 111975035 156765049 179160056 182506660 223950070 313530098 365013320 447900140 627060196 783825245 895800280 1254120392 1500465469 1567650490 3000930938 3135300980 6001861876 6270601960 7502327345 10503258283 12003723752 15004654690 21006516566 30009309380 42013033132 52516291415 60018618760 84026066264 105032582830 210065165660 420130331320