Search a number
-
+
1220402251100 = 2252437127714431
BaseRepresentation
bin10001110000100101101…
…001001000010101011100
311022200001221010212000002
4101300211221020111130
5124443340434013400
62332351155353432
7154112463655454
oct21604551102534
94280057125002
101220402251100
1143062a28933a
121786322b2878
138b111411736
14430d3ddcd64
1521b2ae11ed5
hex11c25a4855c

1220402251100 has 144 divisors (see below), whose sum is σ = 2758139467776. Its totient is φ = 468363168000.

The previous prime is 1220402251049. The next prime is 1220402251111. The reversal of 1220402251100 is 11522040221.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84560885 + ... + 84575315.

It is an arithmetic number, because the mean of its divisors is an integer number (19153746304).

Almost surely, 21220402251100 is an apocalyptic number.

1220402251100 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 1220402251100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379069733888).

1220402251100 is an abundant number, since it is smaller than the sum of its proper divisors (1537737216676).

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

1220402251100 is a wasteful number, since it uses less digits than its factorization.

1220402251100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14836 (or 14829 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 1220402251100 its reverse (11522040221), we get a palindrome (1231924291321).

The spelling of 1220402251100 in words is "one trillion, two hundred twenty billion, four hundred two million, two hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 71 86 100 142 172 215 277 284 355 430 554 710 860 1075 1108 1385 1420 1775 2150 2770 3053 3550 4300 5540 6106 6925 7100 11911 12212 13850 14431 15265 19667 23822 27700 28862 30530 39334 47644 57724 59555 61060 72155 76325 78668 98335 119110 144310 152650 196670 238220 288620 297775 305300 360775 393340 491675 595550 620533 721550 845681 983350 1024601 1191100 1241066 1443100 1691362 1966700 2049202 2482132 3102665 3382724 3997387 4098404 4228405 5123005 6205330 7994774 8456810 10246010 12410660 15513325 15989548 16913620 19986935 20492020 21142025 25615025 31026650 39973870 42284050 44057843 51230050 62053300 79947740 84568100 88115686 99934675 102460100 171887641 176231372 199869350 220289215 283814477 343775282 399738700 440578430 567628954 687550564 859438205 881156860 1101446075 1135257908 1419072385 1718876410 2202892150 2838144770 3437752820 4297191025 4405784300 5676289540 7095361925 8594382050 12204022511 14190723850 17188764100 24408045022 28381447700 48816090044 61020112555 122040225110 244080450220 305100562775 610201125550 1220402251100