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11122010020100 = 22527291128748541
BaseRepresentation
bin1010000111011000101101…
…1101001101100100000100
31110101020212000000220000202
42201312023131031210010
52424210334031120400
635353214133430032
72225352530222540
oct241661335154404
943336760026022
1011122010020100
1135a88aa784971
1212b762a79b318
13628a54b83515
142a6445824a20
15144497d514d5
hexa1d8b74d904

11122010020100 has 144 divisors (see below), whose sum is σ = 28536824359680. Its totient is φ = 3681366796800.

The previous prime is 11122010020007. The next prime is 11122010020141. The reversal of 11122010020100 is 102001022111.

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, 229101830 + ... + 229150370.

Almost surely, 211122010020100 is an apocalyptic number.

11122010020100 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 11122010020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268412179840).

11122010020100 is an abundant number, since it is smaller than the sum of its proper divisors (17414814339580).

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

11122010020100 is a wasteful number, since it uses less digits than its factorization.

11122010020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59878 (or 59871 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11122010020100 its reverse (102001022111), we get a palindrome (11224011042211).

The spelling of 11122010020100 in words is "eleven trillion, one hundred twenty-two billion, ten million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2900 4060 5075 10150 11287 20300 22574 45148 48541 56435 79009 97082 112870 158018 194164 225740 242705 282175 316036 327323 339787 395045 485410 564350 654646 679574 790090 970820 1128700 1213525 1309292 1359148 1407689 1580180 1636615 1698935 1975225 2291261 2427050 2815378 3273230 3397870 3950450 4582522 4854100 5630756 6546460 6795740 7038445 7900900 8183075 8494675 9165044 9853823 11456305 14076890 16366150 16989350 19707646 22912610 28153780 32732300 33978700 35192225 39415292 45825220 49269115 57281525 70384450 98538230 114563050 140768900 197076460 229126100 246345575 492691150 547882267 985382300 1095764534 2191529068 2739411335 3835175869 5478822670 7670351738 10957645340 13697056675 15340703476 15888585743 19175879345 27394113350 31777171486 38351758690 54788226700 63554342972 76703517380 79442928715 95879396725 111220100201 158885857430 191758793450 222440200402 317771714860 383517586900 397214643575 444880400804 556100501005 794429287150 1112201002010 1588858574300 2224402004020 2780502505025 5561005010050 11122010020100