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11120202413404 = 22723119133128949
BaseRepresentation
bin1010000111010001111110…
…1101101111010101011100
31110101002012000200221210121
42201310133231233111130
52424143133304212104
635352314522244324
72225256660634300
oct241643755572534
943332160627717
1011120202413404
1135a80623a5237
1212b72053566a4
1362882752c066
142a631372bd00
151443de2e4254
hexa1d1fb6f55c

11120202413404 has 144 divisors (see below), whose sum is σ = 23561924198400. Its totient is φ = 4573899792000.

The previous prime is 11120202413371. The next prime is 11120202413431. The reversal of 11120202413404 is 40431420202111.

It is a super-3 number, since 3×111202024134043 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 384116322 + ... + 384145270.

It is an arithmetic number, because the mean of its divisors is an integer number (163624473600).

Almost surely, 211120202413404 is an apocalyptic number.

11120202413404 is a gapful number since it is divisible by the number (14) 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 11120202413404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780962099200).

11120202413404 is an abundant number, since it is smaller than the sum of its proper divisors (12441721784996).

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

11120202413404 is a wasteful number, since it uses less digits than its factorization.

11120202413404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29520 (or 29511 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 11120202413404 its reverse (40431420202111), we get a palindrome (51551622615515).

The spelling of 11120202413404 in words is "eleven trillion, one hundred twenty billion, two hundred two million, four hundred thirteen thousand, four hundred four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 191 196 217 331 382 434 662 764 868 1324 1337 1519 2317 2674 3038 4634 5348 5921 6076 9268 9359 10261 11842 16219 18718 20522 23684 28949 32438 37436 41044 41447 57898 63221 64876 71827 82894 115796 126442 143654 165788 202643 252884 287308 290129 405286 442547 502789 580258 810572 885094 897419 1005578 1160516 1418501 1770188 1794838 1959851 2011156 2837002 3097829 3589676 3919702 5529259 5674004 6195658 6281933 7839404 9582119 11058518 12391316 12563866 13718957 19164238 22117036 25127732 27437914 38328476 38704813 43973531 54875828 67074833 77409626 87947062 96032699 134149666 154819252 171407029 175894124 192065398 268299332 270933691 297045689 342814058 384130796 469523831 541867382 594091378 685628116 939047662 1083734764 1188182756 1199849203 1830184729 1878095324 2079319823 2399698406 3660369458 4158639646 4799396812 7320738916 8317279292 8398944421 12811293103 14555238761 16797888842 25622586206 29110477522 33595777684 51245172412 56735726599 58220955044 89679051721 113471453198 179358103442 226942906396 358716206884 397150086193 794300172386 1588600344772 2780050603351 5560101206702 11120202413404