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10211011110220 = 22519163514732029
BaseRepresentation
bin1001010010010110111110…
…1100001010010101001100
31100011011101220212021220211
42110211233230022111030
52314244122321011340
633414512421252204
72102502242236414
oct224455754122514
940134356767824
1010211011110220
113287513631308
12118ab66b64064
13590b8179201b
14274303773644
1512a929ded5ea
hex9496fb0a54c

10211011110220 has 96 divisors (see below), whose sum is σ = 22715307014400. Its totient is φ = 3844829700864.

The previous prime is 10211011110191. The next prime is 10211011110241. The reversal of 10211011110220 is 2201111011201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10211011110220.

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, 318789166 + ... + 318821194.

It is an arithmetic number, because the mean of its divisors is an integer number (236617781400).

Almost surely, 210211011110220 is an apocalyptic number.

10211011110220 is a gapful number since it is divisible by the number (10) 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 10211011110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11357653507200).

10211011110220 is an abundant number, since it is smaller than the sum of its proper divisors (12504295904180).

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

10211011110220 is a wasteful number, since it uses less digits than its factorization.

10211011110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37367 (or 37365 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10211011110220 its reverse (2201111011201), we get a palindrome (12412122121421).

The spelling of 10211011110220 in words is "ten trillion, two hundred eleven billion, eleven million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 163 190 326 380 652 815 1630 3097 3260 5147 6194 10294 12388 15485 20588 25735 30970 32029 51470 61940 64058 97793 102940 128116 160145 195586 320290 391172 488965 608551 640580 838961 977930 1217102 1677922 1955860 2434204 3042755 3355844 4194805 5220727 6085510 8389610 10441454 12171020 15940259 16779220 20882908 26103635 31880518 52207270 63761036 79701295 99193813 104414540 159402590 164853263 198387626 318805180 329706526 396775252 495969065 659413052 824266315 991938130 1648532630 1983876260 3132211997 3297065260 6264423994 12528847988 15661059985 26871081869 31322119970 53742163738 62644239940 107484327476 134355409345 268710818690 510550555511 537421637380 1021101111022 2042202222044 2552752777555 5105505555110 10211011110220