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4114322201022 = 23111953149415469
BaseRepresentation
bin111011110111110000101…
…101101001100110111110
3112120022210012002020110120
4323313300231221212332
51014402112440413042
612430032111315410
7603151511453535
oct73676055514676
915508705066416
104114322201022
111346968693340
1256547221bb66
1323ac958b9027
141031c458931c
157205276edec
hex3bdf0b699be

4114322201022 has 128 divisors (see below), whose sum is σ = 9692084160000. Its totient is φ = 1151079022080.

The previous prime is 4114322201009. The next prime is 4114322201027. The reversal of 4114322201022 is 2201022234114.

It is a junction number, because it is equal to n+sod(n) for n = 4114322200983 and 4114322201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114322201027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9695104 + ... + 10110572.

It is an arithmetic number, because the mean of its divisors is an integer number (75719407500).

Almost surely, 24114322201022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114322201022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846042080000).

4114322201022 is an abundant number, since it is smaller than the sum of its proper divisors (5577761958978).

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

4114322201022 is a wasteful number, since it uses less digits than its factorization.

4114322201022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415706.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4114322201022 its reverse (2201022234114), we get a palindrome (6315344435136).

The spelling of 4114322201022 in words is "four trillion, one hundred fourteen billion, three hundred twenty-two million, two hundred one thousand, twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 53 57 66 106 114 149 159 209 298 318 418 447 583 627 894 1007 1166 1254 1639 1749 2014 2831 3021 3278 3498 4917 5662 6042 7897 8493 9834 11077 15794 16986 22154 23691 31141 33231 47382 62282 66462 86867 93423 150043 173734 186846 260601 300086 415469 450129 521202 830938 900258 1246407 1650473 2492814 3300946 4570159 4951419 7893911 9140318 9902838 13710477 15787822 22019857 23681733 27420954 44039714 47363466 61904881 66059571 86833021 123809762 132119142 173666042 185714643 242218427 260499063 371429286 418377283 484436854 520998126 680953691 726655281 836754566 1176192739 1255131849 1361907382 1453310562 2042861073 2352385478 2510263698 3280958693 3528578217 4085722146 4602150113 6561917386 7057156434 9204300226 9842876079 12938120129 13806450339 19685752158 25876240258 27612900678 36090545623 38814360387 62338215167 72181091246 77628720774 108271636869 124676430334 187014645501 216543273738 374029291002 685720366837 1371440733674 2057161100511 4114322201022