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20121442350 = 2352972575381
BaseRepresentation
bin10010101111010101…
…001101100000101110
31220221022001011211120
4102233111031200232
5312202042123400
613124344201410
71311425303142
oct225725154056
956838034746
1020121442350
1185960364a9
123a96769266
131b888b8209
14d8c499222
157cb758ca0
hex4af54d82e

20121442350 has 96 divisors (see below), whose sum is σ = 50621197536. Its totient is φ = 5288755200.

The previous prime is 20121442343. The next prime is 20121442361. The reversal of 20121442350 is 5324412102.

It is a self number, because there is not a number n which added to its sum of digits gives 20121442350.

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, 3736660 + ... + 3742040.

It is an arithmetic number, because the mean of its divisors is an integer number (527304141).

Almost surely, 220121442350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121442350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25310598768).

20121442350 is an abundant number, since it is smaller than the sum of its proper divisors (30499755186).

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

20121442350 is a wasteful number, since it uses less digits than its factorization.

20121442350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5750 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 20121442350 its reverse (5324412102), we get a palindrome (25445854452).

The spelling of 20121442350 in words is "twenty billion, one hundred twenty-one million, four hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 97 150 194 257 291 485 514 582 771 970 1285 1455 1542 2425 2570 2910 3855 4850 5381 6425 7275 7710 10762 12850 14550 16143 19275 24929 26905 32286 38550 49858 53810 74787 80715 124645 134525 149574 161430 249290 269050 373935 403575 521957 623225 747870 807150 1043914 1246450 1382917 1565871 1869675 2609785 2765834 3131742 3739350 4148751 5219570 6914585 7829355 8297502 13048925 13829170 15658710 20743755 26097850 34572925 39146775 41487510 69145850 78293550 103718775 134142949 207437550 268285898 402428847 670714745 804857694 1341429490 2012144235 3353573725 4024288470 6707147450 10060721175 20121442350