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11221002002100 = 223521117200017861
BaseRepresentation
bin1010001101001001011111…
…0101101001111010110100
31110201201100220220121112110
42203102113311221322310
52432321103003031400
635510505051251020
72235455614204212
oct243222765517264
943651326817473
1011221002002100
113636889110140
121312856a49a70
1363519c8a93b7
142ab156a4bcb2
15146d3d823e50
hexa3497d69eb4

11221002002100 has 144 divisors (see below), whose sum is σ = 37500948910656. Its totient is φ = 2560228608000.

The previous prime is 11221002001999. The next prime is 11221002002113. The reversal of 11221002002100 is 120020012211.

It is a super-2 number, since 2×112210020021002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 99952831 + ... + 100065030.

It is an arithmetic number, because the mean of its divisors is an integer number (260423256324).

Almost surely, 211221002002100 is an apocalyptic number.

11221002002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221002002100 is an abundant number, since it is smaller than the sum of its proper divisors (26279946908556).

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

11221002002100 is a wasteful number, since it uses less digits than its factorization.

11221002002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200017906 (or 200017899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11221002002100 its reverse (120020012211), we get a palindrome (11341022014311).

The spelling of 11221002002100 in words is "eleven trillion, two hundred twenty-one billion, two million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 200017861 400035722 600053583 800071444 1000089305 1200107166 2000178610 2200196471 2400214332 3000267915 3400303637 4000357220 4400392942 5000446525 6000535830 6600589413 6800607274 8800785884 10000893050 10200910911 11000982355 12001071660 13201178826 13601214548 15001339575 17001518185 20001786100 20401821822 22001964710 26402357652 30002679150 33002947065 34003036370 37403340007 40803643644 44003929420 51004554555 55004911775 60005358300 66005894130 68006072740 74806680014 85007590925 102009109110 110009823550 112210020021 132011788260 149613360028 165014735325 170015181850 187016700035 204018218220 220019647100 224420040042 255022772775 330029470650 340030363700 374033400070 448840080084 510045545550 561050100105 660058941300 748066800140 935083500175 1020091091100 1122100200210 1870167000350 2244200400420 2805250500525 3740334000700 5610501001050 11221002002100