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2211200002128 = 2431310197735911
BaseRepresentation
bin100000001011010101110…
…010100110100001010000
321211101111022220121001010
4200023111302212201100
5242212014200032003
64411451122010520
7315516411621345
oct40132562464120
97741438817033
102211200002128
11782845834397
122b86664a6a40
13130691066130
14790462247cc
153c7b984b003
hex202d5ca6850

2211200002128 has 160 divisors (see below), whose sum is σ = 6219111451392. Its totient is φ = 672924672000.

The previous prime is 2211200002127. The next prime is 2211200002133. The reversal of 2211200002128 is 8212000021122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211200002127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61556493 + ... + 61592403.

Almost surely, 22211200002128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211200002128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109555725696).

2211200002128 is an abundant number, since it is smaller than the sum of its proper divisors (4007911449264).

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

2211200002128 is a wasteful number, since it uses less digits than its factorization.

2211200002128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37013 (or 37007 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 2211200002128 in words is "two trillion, two hundred eleven billion, two hundred million, two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 101 104 156 202 208 303 312 404 606 624 808 977 1212 1313 1616 1954 2424 2626 2931 3908 3939 4848 5252 5862 7816 7878 10504 11724 12701 15632 15756 21008 23448 25402 31512 35911 38103 46896 50804 63024 71822 76206 98677 101608 107733 143644 152412 197354 203216 215466 287288 296031 304824 394708 430932 466843 574576 592062 609648 789416 861864 933686 1184124 1282801 1400529 1578832 1723728 1867372 2368248 2565602 2801058 3627011 3734744 3848403 4736496 5131204 5602116 7254022 7469488 7696806 10262408 10881033 11204232 14508044 15393612 20524816 21762066 22408464 29016088 30787224 35085047 43524132 47151143 58032176 61574448 70170094 87048264 94302286 105255141 140340188 141453429 174096528 188604572 210510282 280680376 282906858 377209144 421020564 456105611 561360752 565813716 754418288 842041128 912211222 1131627432 1368316833 1684082256 1824422444 2263254864 2736633666 3543589747 3648844888 5473267332 7087179494 7297689776 10630769241 10946534664 14174358988 21261538482 21893069328 28348717976 42523076964 46066666711 56697435952 85046153928 92133333422 138200000133 170092307856 184266666844 276400000266 368533333688 552800000532 737066667376 1105600001064 2211200002128