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2211210002320 = 2451153125937657
BaseRepresentation
bin100000001011010110011…
…000101111111110010000
321211101112000201122201121
4200023112120233332100
5242212024230033240
64411452120212024
7315516562621414
oct40132630577620
97741460648647
102211210002320
11782850444710
122b866990a014
13130693157ac7
14790476a8d44
153c7ba67404a
hex202d662ff90

2211210002320 has 160 divisors (see below), whose sum is σ = 5718942714240. Its totient is φ = 788257566720.

The previous prime is 2211210002297. The next prime is 2211210002341. The reversal of 2211210002320 is 232000121122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2211210002294 and 2211210002303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58700932 + ... + 58738588.

It is an arithmetic number, because the mean of its divisors is an integer number (35743391964).

Almost surely, 22211210002320 is an apocalyptic number.

2211210002320 is a gapful number since it is divisible by the number (20) 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 2211210002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859471357120).

2211210002320 is an abundant number, since it is smaller than the sum of its proper divisors (3507732711920).

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

2211210002320 is a wasteful number, since it uses less digits than its factorization.

2211210002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38993 (or 38987 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2211210002320 its reverse (232000121122), we get a palindrome (2443210123442).

The spelling of 2211210002320 in words is "two trillion, two hundred eleven billion, two hundred ten million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 212 220 265 424 440 530 583 848 880 1060 1166 1259 2120 2332 2518 2915 4240 4664 5036 5830 6295 9328 10072 11660 12590 13849 20144 23320 25180 27698 37657 46640 50360 55396 66727 69245 75314 100720 110792 133454 138490 150628 188285 221584 266908 276980 301256 333635 376570 414227 533816 553960 602512 667270 733997 753140 828454 1067632 1107920 1334540 1467994 1506280 1656908 1995821 2071135 2669080 2935988 3012560 3313816 3669985 3991642 4142270 5338160 5871976 6627632 7339970 7983284 8284540 9979105 11743952 14679940 15966568 16569080 19958210 21954031 29359880 31933136 33138160 39916420 43908062 47410163 58719760 79832840 87816124 94820326 109770155 159665680 175632248 189640652 219540310 237050815 351264496 379281304 439080620 474101630 521511793 758562608 878161240 948203260 1043023586 1756322480 1896406520 2086047172 2512738639 2607558965 3792813040 4172094344 5025477278 5215117930 8344188688 10050954556 10430235860 12563693195 20101909112 20860471720 25127386390 27640125029 40203818224 41720943440 50254772780 55280250058 100509545560 110560500116 138200625145 201019091120 221121000232 276401250290 442242000464 552802500580 1105605001160 2211210002320