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11220556426530 = 23511433511225217
BaseRepresentation
bin1010001101000111110101…
…0001111010110100100010
31110201200012212111000202120
42203101331101322310202
52432314144421122110
635510352533125110
72235441563653113
oct243217521726442
943650185430676
1011220556426530
11363667a646670
121312751789796
1363512b49b509
142ab1137c220a
15146d1465b870
hexa347d47ad22

11220556426530 has 128 divisors (see below), whose sum is σ = 30069348857856. Its totient is φ = 2656107417600.

The previous prime is 11220556426493. The next prime is 11220556426559. The reversal of 11220556426530 is 3562465502211.

11220556426530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49708482 + ... + 49933698.

It is an arithmetic number, because the mean of its divisors is an integer number (234916787952).

Almost surely, 211220556426530 is an apocalyptic number.

11220556426530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220556426530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034674428928).

11220556426530 is an abundant number, since it is smaller than the sum of its proper divisors (18848792431326).

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

11220556426530 is a wasteful number, since it uses less digits than its factorization.

11220556426530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228792.

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 11220556426530 in words is "eleven trillion, two hundred twenty billion, five hundred fifty-six million, four hundred twenty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1419 2365 2838 3511 4730 7022 7095 10533 14190 17555 21066 35110 38621 52665 77242 105330 115863 150973 193105 225217 231726 301946 386210 450434 452919 579315 675651 754865 905838 1126085 1158630 1351302 1509730 1660703 2252170 2264595 2477387 3321406 3378255 4529190 4954774 4982109 6756510 7432161 8303515 9684331 9964218 12386935 14864322 16607030 19368662 24773870 24910545 29052993 37160805 48421655 49821090 58105986 74321610 96843310 106527641 145264965 213055282 290529930 319582923 532638205 639165846 790736887 1065276410 1581473774 1597914615 2372210661 3195829230 3953684435 4744421322 7907368870 8698105757 11861053305 17396211514 23722106610 26094317271 34001686141 43490528785 52188634542 68003372282 86981057570 102005058423 130471586355 170008430705 204010116846 260943172710 340016861410 374018547551 510025292115 748037095102 1020050584230 1122055642653 1870092737755 2244111285306 3740185475510 5610278213265 11220556426530