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2121100031022 = 2371914924174021
BaseRepresentation
bin11110110111011011011…
…010011111010000101110
321111202221002220211100020
4132313123122133100232
5234223003101443042
64302230410543010
7306146556533010
oct36673332372056
97452832824306
102121100031022
1174860a741555
122a3100137a66
1312503261056b
1474939d421b0
153a2948233ec
hex1eddb69f42e

2121100031022 has 128 divisors (see below), whose sum is σ = 5159037312000. Its totient is φ = 567905126400.

The previous prime is 2121100030981. The next prime is 2121100031053. The reversal of 2121100031022 is 2201300011212.

It is a junction number, because it is equal to n+sod(n) for n = 2121100030992 and 2121100031010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28618372 + ... + 28692392.

It is an arithmetic number, because the mean of its divisors is an integer number (40304979000).

Almost surely, 22121100031022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121100031022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579518656000).

2121100031022 is an abundant number, since it is smaller than the sum of its proper divisors (3037937280978).

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

2121100031022 is a wasteful number, since it uses less digits than its factorization.

2121100031022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74442.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2121100031022 its reverse (2201300011212), we get a palindrome (4322400042234).

The spelling of 2121100031022 in words is "two trillion, one hundred twenty-one billion, one hundred million, thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 149 241 266 298 399 447 482 723 798 894 1043 1446 1687 2086 2831 3129 3374 4579 5061 5662 6258 8493 9158 10122 13737 16986 19817 27474 32053 35909 39634 59451 64106 71818 74021 96159 107727 118902 148042 192318 215454 222063 251363 444126 502726 518147 682271 754089 1036294 1364542 1406399 1508178 1554441 2046813 2812798 3108882 4093626 4219197 4775897 8438394 9551794 9844793 11029129 14327691 17839061 19689586 22058258 28655382 29534379 33087387 35678122 53517183 59068758 66174774 77203903 107034366 124873427 154407806 209553451 231611709 249746854 338942159 374620281 419106902 463223418 628660353 677884318 749240562 1016826477 1257320706 1466874157 2033652954 2372595113 2658020089 2933748314 4400622471 4745190226 5316040178 7117785339 7974060267 8801244942 14235570678 15948120534 18606140623 37212281246 50502381691 55818421869 101004763382 111636843738 151507145073 303014290146 353516671837 707033343674 1060550015511 2121100031022