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11034402020100 = 22335210339677821
BaseRepresentation
bin1010000010010010010110…
…0111001101101100000100
31110001212201110010101001000
42200210211213031230010
52421241423404120400
635245045002133300
72216131524423114
oct240444547155404
943055643111030
1011034402020100
113574733301888
1212a265aab1230
136207027a8774
142a20d44a3044
1514206b9ba600
hexa09259cdb04

11034402020100 has 144 divisors (see below), whose sum is σ = 35817963475840. Its totient is φ = 2913939100800.

The previous prime is 11034402020077. The next prime is 11034402020111. The reversal of 11034402020100 is 102020443011.

11034402020100 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 440 + 20 + 201 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 19560811 + ... + 20117010.

Almost surely, 211034402020100 is an apocalyptic number.

11034402020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11034402020100 is an abundant number, since it is smaller than the sum of its proper divisors (24783561455740).

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

11034402020100 is a wasteful number, since it uses less digits than its factorization.

11034402020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39677947 (or 39677934 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11034402020100 its reverse (102020443011), we get a palindrome (11136422463111).

The spelling of 11034402020100 in words is "eleven trillion, thirty-four billion, four hundred two million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 103 108 135 150 180 206 225 270 300 309 412 450 515 540 618 675 900 927 1030 1236 1350 1545 1854 2060 2575 2700 2781 3090 3708 4635 5150 5562 6180 7725 9270 10300 11124 13905 15450 18540 23175 27810 30900 46350 55620 69525 92700 139050 278100 39677821 79355642 119033463 158711284 198389105 238066926 357100389 396778210 476133852 595167315 714200778 793556420 991945525 1071301167 1190334630 1428401556 1785501945 1983891050 2142602334 2380669260 2975836575 3571003890 3967782100 4086815563 4285204668 5356505835 5951673150 7142007780 8173631126 8927509725 10713011670 11903346300 12260446689 16347262252 17855019450 20434077815 21426023340 24520893378 26782529175 35710038900 36781340067 40868155630 49041786756 53565058350 61302233445 73562680134 81736311260 102170389075 107130116700 110344020201 122604466890 147125360268 183906700335 204340778150 220688040402 245208933780 306511167225 367813400670 408681556300 441376080804 551720101005 613022334450 735626801340 919533501675 1103440202010 1226044668900 1839067003350 2206880404020 2758600505025 3678134006700 5517201010050 11034402020100